From b9c72ddf040d64fa1fd6229678234f66cc548e44 Mon Sep 17 00:00:00 2001 From: Abdullah Al Omar Galib <109025616+ahkatlio@users.noreply.github.com> Date: Mon, 2 Jun 2025 22:54:24 +0600 Subject: [PATCH 01/26] Create qpixl_integrator.py --- QPIXL/qpixl_integrator.py | 506 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 506 insertions(+) create mode 100644 QPIXL/qpixl_integrator.py diff --git a/QPIXL/qpixl_integrator.py b/QPIXL/qpixl_integrator.py new file mode 100644 index 0000000..37bc5aa --- /dev/null +++ b/QPIXL/qpixl_integrator.py @@ -0,0 +1,506 @@ +""" +QPIXL Circuit Integrator + +A flexible module for integrating quantum circuits with QPIXL-encoded data circuits. +""" + +import numpy as np +from enum import Enum +from typing import Callable, Dict, List, Optional, Union, Tuple, Any +from qiskit import QuantumCircuit, QuantumRegister +import QPIXL.helper as hlp + + +class IntegrationMode(Enum): + """Enum defining different modes of circuit integration.""" + MERGE = "merge" # Combine circuits side by side + SEQUENTIAL = "sequential" # Apply circuits one after another + INTERLEAVED = "interleaved" # Insert algorithm operations during encoding + ENTANGLE = "entangle" # Connect circuits with entangling operations + CUSTOM = "custom" # User-defined custom integration rule + + +class CircuitIntegrator: + """ + A class for integrating quantum circuits with QPIXL-encoded data circuits. + + This provides a flexible mechanism to combine arbitrary quantum circuits + with QPIXL-encoded data circuits using various integration strategies. + """ + + def integrate(self, + data_circuit: QuantumCircuit, + algorithm_circuit: QuantumCircuit, + mode: Union[str, IntegrationMode] = IntegrationMode.MERGE, + connection_map: Optional[Dict[int, int]] = None, + custom_rule: Optional[Callable] = None, + **kwargs) -> QuantumCircuit: + """ + Integrate a QPIXL data circuit with an algorithm circuit. + + Args: + data_circuit: The QPIXL-encoded data circuit + algorithm_circuit: An arbitrary quantum circuit + mode: Integration mode (merge, sequential, interleaved, entangle, custom) + connection_map: Dictionary mapping data qubits to algorithm qubits + custom_rule: Custom function to apply for integration + **kwargs: Additional arguments for specific integration modes + + Returns: + A quantum circuit combining the data and algorithm circuits + """ + # Convert string mode to enum if needed + if isinstance(mode, str): + try: + mode = IntegrationMode(mode.lower()) + except ValueError: + raise ValueError(f"Unknown integration mode: {mode}") + + # Default empty connection map if not provided + if connection_map is None: + connection_map = {} + + # Select integration method based on mode + if mode == IntegrationMode.MERGE: + return self._merge_circuits(data_circuit, algorithm_circuit, connection_map, **kwargs) + elif mode == IntegrationMode.SEQUENTIAL: + return self._sequential_circuits(data_circuit, algorithm_circuit, **kwargs) + elif mode == IntegrationMode.INTERLEAVED: + return self._interleaved_circuits(data_circuit, algorithm_circuit, **kwargs) + elif mode == IntegrationMode.ENTANGLE: + return self._entangle_circuits(data_circuit, algorithm_circuit, connection_map, **kwargs) + elif mode == IntegrationMode.CUSTOM: + if custom_rule is None: + raise ValueError("For CUSTOM mode, a custom_rule function must be provided") + return custom_rule(data_circuit, algorithm_circuit, **kwargs) + else: + raise ValueError(f"Unsupported integration mode: {mode}") + + def _merge_circuits(self, + data_circuit: QuantumCircuit, + algorithm_circuit: QuantumCircuit, + connection_map: Dict[int, int], + **kwargs) -> QuantumCircuit: + """ + Merge circuits side by side and optionally add connections between them. + + Args: + data_circuit: QPIXL data circuit + algorithm_circuit: Algorithm circuit + connection_map: Dictionary mapping data qubits to algorithm qubits + + Returns: + A merged quantum circuit + """ + # Create a new circuit with combined qubits + combined = QuantumCircuit(data_circuit.num_qubits + algorithm_circuit.num_qubits) + + # Add data circuit to first qubits + combined = combined.compose(data_circuit, qubits=range(data_circuit.num_qubits)) + + # Add algorithm circuit to remaining qubits + algo_qubits = range(data_circuit.num_qubits, + data_circuit.num_qubits + algorithm_circuit.num_qubits) + combined = combined.compose(algorithm_circuit, qubits=algo_qubits) + + # Add connections between circuits if specified + for data_qubit, algo_qubit in connection_map.items(): + # Adjust algorithm qubit index + adjusted_algo_qubit = data_circuit.num_qubits + algo_qubit + # Add CNOT as the basic connection + combined.cx(data_qubit, adjusted_algo_qubit) + + return combined + + def _sequential_circuits(self, + data_circuit: QuantumCircuit, + algorithm_circuit: QuantumCircuit, + **kwargs) -> QuantumCircuit: + """ + Apply circuits sequentially (data circuit followed by algorithm circuit). + + Args: + data_circuit: QPIXL data circuit + algorithm_circuit: Algorithm circuit + + Returns: + A sequential quantum circuit + """ + # Check if circuits have same number of qubits + if data_circuit.num_qubits != algorithm_circuit.num_qubits: + raise ValueError( + f"Circuits must have same number of qubits for sequential integration: " + f"{data_circuit.num_qubits} vs {algorithm_circuit.num_qubits}" + ) + + # Create a copy of the data circuit + combined = data_circuit.copy() + + # Append the algorithm circuit + combined.compose(algorithm_circuit, inplace=True) + + return combined + + def _interleaved_circuits(self, + data_circuit: QuantumCircuit, + algorithm_circuit: QuantumCircuit, + **kwargs) -> QuantumCircuit: + """ + Create a circuit with algorithm operations interleaved during data preparation. + + This is a simplified implementation. For more complex interleaving, + use QPIXLAlgorithmEncoder instead. + + Args: + data_circuit: QPIXL data circuit + algorithm_circuit: Algorithm circuit + + Returns: + An interleaved quantum circuit + """ + # This is a simplified approach - for real interleaving during QPIXL encoding, + # it's better to use QPIXLAlgorithmEncoder + + # Get operations from both circuits + data_ops = data_circuit.data + algo_ops = algorithm_circuit.data + + # Create a new circuit with the same size as data circuit + combined = QuantumCircuit(data_circuit.num_qubits) + + # Interleave operations with a basic strategy + data_idx = 0 + algo_idx = 0 + + # Simple alternating strategy + while data_idx < len(data_ops) or algo_idx < len(algo_ops): + # Add a data operation if available + if data_idx < len(data_ops): + instr = data_ops[data_idx] + combined.append(instr.operation, instr.qubits) + data_idx += 1 + + # Add an algorithm operation if available + if algo_idx < len(algo_ops): + # Map algorithm qubit indices to data circuit qubits + # This is a simple mapping - may need customization + instr = algo_ops[algo_idx] + + # Skip if algorithm operation uses more qubits than available + if all(q.index < combined.num_qubits for q in instr.qubits): + combined.append(instr.operation, instr.qubits) + + algo_idx += 1 + + return combined + + def _entangle_circuits(self, + data_circuit: QuantumCircuit, + algorithm_circuit: QuantumCircuit, + connection_map: Dict[int, int], + **kwargs) -> QuantumCircuit: + """ + Combine circuits and add entanglement operations between them. + + Args: + data_circuit: QPIXL data circuit + algorithm_circuit: Algorithm circuit + connection_map: Dictionary mapping data qubits to algorithm qubits + + Returns: + An entangled quantum circuit + """ + # First merge the circuits + combined = self._merge_circuits(data_circuit, algorithm_circuit, {}, **kwargs) + + # If no connections specified, entangle first qubit + if not connection_map: + if data_circuit.num_qubits > 0 and algorithm_circuit.num_qubits > 0: + connection_map = {0: 0} # Connect first qubit to first algorithm qubit + + # Add entanglement operations + for data_qubit, algo_qubit in connection_map.items(): + # Adjust algorithm qubit index + adjusted_algo_qubit = data_circuit.num_qubits + algo_qubit + + # Get entanglement type from kwargs or use default + entangle_type = kwargs.get('entangle_type', 'cx') + + if entangle_type == 'cx': + combined.cx(data_qubit, adjusted_algo_qubit) + elif entangle_type == 'cz': + combined.cz(data_qubit, adjusted_algo_qubit) + elif entangle_type == 'swap': + combined.swap(data_qubit, adjusted_algo_qubit) + else: + raise ValueError(f"Unsupported entanglement type: {entangle_type}") + + return combined + + +class QPIXLAlgorithmEncoder: + """ + A class to create QPIXL circuits with integrated algorithm operations. + + This allows algorithm operations to be injected during the QPIXL encoding process, + similar to the cFRQI_with_alg_demo function in the QPIXL_demo notebook. + """ + + def create_circuit(self, + data: np.ndarray, + compression: float = 0, + algorithm_ops: Optional[List[Dict[str, Any]]] = None, + post_processing: Optional[Callable] = None, + algorithm_qubits: int = 1) -> QuantumCircuit: + """ + Create a QPIXL circuit with integrated algorithm operations. + + Args: + data: Input data array to encode + compression: Compression ratio (0-100) + algorithm_ops: List of algorithm operations to apply + Each operation is a dict with: + - 'gate': Gate type ('unitary', 'cry', etc.) + - 'params': Parameters for the gate + - 'qubits': Qubits to apply the gate to (algorithm and encoding) + post_processing: Function to apply to the circuit after encoding + algorithm_qubits: Number of qubits to allocate for algorithm + + Returns: + A QPIXL circuit with integrated algorithm operations + """ + # Process the data for QPIXL encoding + a = hlp.convertToAngles(data) + a = hlp.preprocess_image(a) + n = len(a) + k = hlp.ilog2(n) + a = 2 * a + a = hlp.sfwht(a) + a = hlp.grayPermutation(a) + + # Apply compression if requested + if compression > 0: + a_sort_ind = np.argsort(np.abs(a)) + cutoff = int((compression / 100.0) * n) + for it in a_sort_ind[:cutoff]: + a[it] = 0 + + # Create quantum registers + storage_qubits = QuantumRegister(k, "storage") + encoding_qubit = QuantumRegister(1, "encoding") + algo_qubits = QuantumRegister(algorithm_qubits, "algorithm") + + # Create quantum circuit + circuit = QuantumCircuit(storage_qubits, encoding_qubit, algo_qubits) + + # Apply Hadamard gates to storage qubits + circuit.h(storage_qubits) + + # Perform encoding with algorithm operations + ctrl, pc, i = 0, 0, 0 + while i < (2**k): + pc = int(0) # Reset parity check + + # Apply algorithm operations and encoding when angle is non-zero + if a[i] != 0: + # Apply algorithm operations if specified + if algorithm_ops: + for op in algorithm_ops: + gate_type = op.get('gate') + params = op.get('params', {}) + + if gate_type == 'unitary': + # Apply unitary gate (like in cFRQI_with_alg_demo) + angle = a[i] + unitary_matrix = np.array([ + [np.cos(angle), -1j * np.sin(angle)], + [-1j * np.sin(angle), np.cos(angle)] + ]) + circuit.unitary(unitary_matrix, algo_qubits[0], label=f"alg_{i}") + + elif gate_type == 'cry': + # Apply controlled rotation Y gate + circuit.cry(a[i], algo_qubits[0], encoding_qubit[0]) + + elif gate_type == 'crx': + # Apply controlled rotation X gate + circuit.crx(a[i], algo_qubits[0], encoding_qubit[0]) + + elif gate_type == 'custom': + # Call custom function with circuit, angle, and index + custom_func = params.get('func') + if custom_func: + custom_func(circuit, a[i], i) + + # Add more gate types as needed + + # Apply the standard encoding rotation if not overridden + if not any(op.get('gate') == 'cry' for op in algorithm_ops or []): + circuit.ry(a[i], encoding_qubit) + + # Calculate control qubit + if i == ((2**k) - 1): + ctrl = 0 + else: + ctrl = hlp.grayCode(i) ^ hlp.grayCode(i + 1) + ctrl = k - hlp.countr_zero(ctrl, n_bits=k + 1) - 1 + + pc ^= 2**ctrl # Update parity check + i += 1 + + # Skip zero angles + while i < (2**k) and a[i] == 0: + if i == ((2**k) - 1): + ctrl = 0 + else: + ctrl = hlp.grayCode(i) ^ hlp.grayCode(i + 1) + ctrl = k - hlp.countr_zero(ctrl, n_bits=k + 1) - 1 + pc ^= 2**ctrl # Update parity check + i += 1 + + # Apply CNOT gates based on parity check + for j in range(k): + if (pc >> j) & 1: + circuit.cx(storage_qubits[j], encoding_qubit[0]) + + # Reverse bits + circuit.reverse_bits() + + # Apply post-processing if specified + if post_processing: + post_processing(circuit) + + return circuit + + +def create_pattern_function(gate_name: str, **params) -> Tuple[Callable, any]: + """ + Create a pattern function for use with cFRQIangs. + + Args: + gate_name: Name of the gate to apply ('rx', 'ry', 'crx', 'cry', etc.) + **params: Parameters for the gate (angle, control, target, etc.) + + Returns: + A tuple of (pattern_function, angle) + """ + def pattern_func(circ): + """Pattern function to apply the specified gate to the circuit.""" + gate_name_lower = gate_name.lower() + + if gate_name_lower == 'rx': + circ.rx(params.get('angle', 0), params.get('target', 0)) + + elif gate_name_lower == 'ry': + circ.ry(params.get('angle', 0), params.get('target', 0)) + + elif gate_name_lower == 'rz': + circ.rz(params.get('angle', 0), params.get('target', 0)) + + elif gate_name_lower == 'crx': + circ.crx( + params.get('angle', 0), + params.get('control', 1), + params.get('target', 0) + ) + + elif gate_name_lower == 'cry': + circ.cry( + params.get('angle', 0), + params.get('control', 1), + params.get('target', 0) + ) + + elif gate_name_lower == 'crz': + circ.crz( + params.get('angle', 0), + params.get('control', 1), + params.get('target', 0) + ) + + elif gate_name_lower == 'cx' or gate_name_lower == 'cnot': + circ.cx( + params.get('control', 1), + params.get('target', 0) + ) + + elif gate_name_lower == 'h': + circ.h(params.get('target', 0)) + + else: + raise ValueError(f"Unsupported gate: {gate_name}") + + return pattern_func, params.get('angle', 0) + + +def create_post_processing(operations: List[Dict]) -> Callable: + """ + Create a post-processing function to apply operations to a circuit. + + Args: + operations: List of operations to apply + Each operation is a dict with: + - 'gate': Gate type ('h', 'x', 'rx', etc.) + - 'qubits': List of qubits to apply the gate to + - 'params': Parameters for the gate (if needed) + + Returns: + A post-processing function + """ + def post_process(circuit): + """Apply the specified operations to the circuit.""" + for op in operations: + gate = op.get('gate', '').lower() + qubits = op.get('qubits', [0]) + params = op.get('params', {}) + + for q in qubits: + if gate == 'h': + circuit.h(q) + elif gate == 'x': + circuit.x(q) + elif gate == 'y': + circuit.y(q) + elif gate == 'z': + circuit.z(q) + elif gate == 'rx': + circuit.rx(params.get('angle', 0), q) + elif gate == 'ry': + circuit.ry(params.get('angle', 0), q) + elif gate == 'rz': + circuit.rz(params.get('angle', 0), q) + # Add more gate types as needed + + return post_process + + +# Example usage functions +def example_algorithm_operations(): + """Create example algorithm operations for QPIXLAlgorithmEncoder.""" + return [ + { + 'gate': 'unitary', + 'params': {}, # Angle will be taken from the data + }, + { + 'gate': 'cry', + 'params': {}, # Angle will be taken from the data + } + ] + + +def example_custom_alg_function(circuit, angle, index): + """Example custom algorithm function for QPIXLAlgorithmEncoder.""" + # Get the algorithm qubit(s) + algo_qubits = circuit.qregs[2] # Assuming algorithm qubits are in the third register + encoding_qubit = circuit.qregs[1] # Assuming encoding qubit is in the second register + + # Apply some gates based on the angle and index + circuit.ry(angle / 2, algo_qubits[0]) + circuit.cx(algo_qubits[0], encoding_qubit[0]) + + +if __name__ == "__main__": + # This code runs when the script is executed directly + print("QPIXL Circuit Integrator module loaded successfully.") + print("Use CircuitIntegrator and QPIXLAlgorithmEncoder classes to integrate quantum circuits.") \ No newline at end of file From 20f3c4247cb2029c809b8dac8402d374e4afcef0 Mon Sep 17 00:00:00 2001 From: Abdullah Al Omar Galib <109025616+ahkatlio@users.noreply.github.com> Date: Mon, 2 Jun 2025 22:54:26 +0600 Subject: [PATCH 02/26] Update QPIXL_demo.ipynb --- QPIXL_demo.ipynb | 939 +++++++++++++++++++++++++++++++++++++++++++---- 1 file changed, 873 insertions(+), 66 deletions(-) diff --git a/QPIXL_demo.ipynb b/QPIXL_demo.ipynb index 2b79f10..037ff1a 100644 --- a/QPIXL_demo.ipynb +++ b/QPIXL_demo.ipynb @@ -11,6 +11,7 @@ "import QPIXL.helper as hlp\n", "from QPIXL.qiskit.qpixl import cFRQI\n", "from QPIXL.qiskit.qpixl_angs import cFRQIangs, decodeAngQPIXL\n", + "from QPIXL.qpixl_integrator import CircuitIntegrator, IntegrationMode, QPIXLAlgorithmEncoder\n", "import qiskit\n", "from qiskit import QuantumCircuit\n", "from qiskit_aer import StatevectorSimulator\n", @@ -192,7 +193,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": { "jupyter": { "source_hidden": true @@ -202,7 +203,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -250,7 +251,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -282,7 +283,7 @@ " └───────┘ └───────┘ └───────┘ └───────┘ " ] }, - "execution_count": 5, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } @@ -372,15 +373,96 @@ "circ.draw(fold=150, vertical_compression=\"high\")" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Flexible Algorithm Integration with QPIXLAlgorithmEncoder\n", + "\n", + "The previous `cFRQI_with_alg_demo` function demonstrates a hardcoded approach to integrating algorithms with QPIXL data encoding. However, this approach requires modifying the encoding function itself, which isn't easily extensible.\n", + "\n", + "The `QPIXLAlgorithmEncoder` class provides a more flexible alternative that allows:\n", + "- Specifying algorithm operations as a structured configuration\n", + "- Dynamically applying these operations during encoding\n", + "- Maintaining separation between data encoding and algorithm logic\n", + "\n", + "This approach makes it easy to experiment with different algorithm operations without changing the core encoding logic." + ] + }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
             ┌───┐                                                                                             \n",
+       "storage_0: ──┤ H ├─────────────────────────────────────────────────────────────────■────────────────────────■──\n",
+       "             ├───┤                                                                 │                        │  \n",
+       "storage_1: ──┤ H ├───────────────────────────────────────■─────────────────────────┼──────■─────────────────┼──\n",
+       "             ├───┤                                       │                         │      │                 │  \n",
+       "storage_2: ──┤ H ├─────────────────■─────────────────────┼──────■──────────────────┼──────┼─────────────────┼──\n",
+       "             └───┘  ┌─────────┐  ┌─┴─┐  ┌───────────┐  ┌─┴─┐  ┌─┴─┐┌──────────┐  ┌─┴─┐  ┌─┴─┐┌───────────┐┌─┴─┐\n",
+       " encoding: ─────────┤ Ry(π/2) ├──┤ X ├──┤ Ry(-π/14) ├──┤ X ├──┤ X ├┤ Ry(-π/7) ├──┤ X ├──┤ X ├┤ Ry(-2π/7) ├┤ X ├\n",
+       "           ┌───────┐└────┬────┘┌─┴───┴─┐└─────┬─────┘┌─┴───┴─┐└───┘└────┬─────┘┌─┴───┴─┐└───┘└─────┬─────┘└───┘\n",
+       "algorithm: ┤ alg_0 ├─────■─────┤ alg_1 ├──────■──────┤ alg_3 ├──────────■──────┤ alg_7 ├───────────■───────────\n",
+       "           └───────┘           └───────┘             └───────┘                 └───────┘                       
" + ], + "text/plain": [ + " ┌───┐ \n", + "storage_0: ──┤ H ├─────────────────────────────────────────────────────────────────■────────────────────────■──\n", + " ├───┤ │ │ \n", + "storage_1: ──┤ H ├───────────────────────────────────────■─────────────────────────┼──────■─────────────────┼──\n", + " ├───┤ │ │ │ │ \n", + "storage_2: ──┤ H ├─────────────────■─────────────────────┼──────■──────────────────┼──────┼─────────────────┼──\n", + " └───┘ ┌─────────┐ ┌─┴─┐ ┌───────────┐ ┌─┴─┐ ┌─┴─┐┌──────────┐ ┌─┴─┐ ┌─┴─┐┌───────────┐┌─┴─┐\n", + " encoding: ─────────┤ Ry(π/2) ├──┤ X ├──┤ Ry(-π/14) ├──┤ X ├──┤ X ├┤ Ry(-π/7) ├──┤ X ├──┤ X ├┤ Ry(-2π/7) ├┤ X ├\n", + " ┌───────┐└────┬────┘┌─┴───┴─┐└─────┬─────┘┌─┴───┴─┐└───┘└────┬─────┘┌─┴───┴─┐└───┘└─────┬─────┘└───┘\n", + "algorithm: ┤ alg_0 ├─────■─────┤ alg_1 ├──────■──────┤ alg_3 ├──────────■──────┤ alg_7 ├───────────■───────────\n", + " └───────┘ └───────┘ └───────┘ └───────┘ " + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data = np.array([0, 1, 2, 3, 4, 5, 6, 7])\n", + "\n", + "algorithm_ops = [\n", + " {\n", + " 'gate': 'unitary',\n", + " 'params': {} \n", + " },\n", + " {\n", + " 'gate': 'cry',\n", + " 'params': {} \n", + " }\n", + "]\n", + "\n", + "encoder = QPIXLAlgorithmEncoder()\n", + "\n", + "circuit = encoder.create_circuit(\n", + " data,\n", + " compression=0,\n", + " algorithm_ops=algorithm_ops,\n", + " algorithm_qubits=1\n", + ")\n", + "\n", + "circuit.draw(fold=150, vertical_compression=\"high\")" + ] + }, + { + "cell_type": "code", + "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "82bdee920508496083fbba72bb654eb2", + "model_id": "5ceba2036e8d4198a0e8dddc8a1477d4", "version_major": 2, "version_minor": 0 }, @@ -397,7 +479,7 @@ "" ] }, - "execution_count": 7, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -447,7 +529,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 6, "metadata": { "jupyter": { "source_hidden": true @@ -514,7 +596,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "metadata": { "jupyter": { "source_hidden": true @@ -525,7 +607,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "72445ee0bf414930a11139f9f437f26d", + "model_id": "90cb9a56004a4c4d869412eaa804c420", "version_major": 2, "version_minor": 0 }, @@ -542,7 +624,7 @@ "" ] }, - "execution_count": 9, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -568,7 +650,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": { "tags": [] }, @@ -576,7 +658,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "433ed5a3836c4a9ca0bf9188c47fcd31", + "model_id": "d691088c8be54af4bd7a0bc4ef9c4121", "version_major": 2, "version_minor": 0 }, @@ -593,7 +675,7 @@ "" ] }, - "execution_count": 10, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -616,7 +698,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "metadata": { "tags": [] }, @@ -624,7 +706,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "252d5d21b59c4187944d2cfd38cb2b44", + "model_id": "dddf6506bf85406ab829bd3a42c2222c", "version_major": 2, "version_minor": 0 }, @@ -641,7 +723,7 @@ "" ] }, - "execution_count": 11, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -657,31 +739,66 @@ " img2, img1 = img1, img2\n", " qc1 = cFRQI(img1, 0)\n", " qc2 = cFRQI(img2, 0)\n", - " big_qc = QuantumCircuit(qc1.width() + qc2.width())\n", - " big_qc = big_qc.compose(qc1, qubits=list(range(qc1.width())))\n", - " big_qc = big_qc.compose(\n", - " qc2, qubits=list(range(qc1.width(), qc1.width() + qc2.width()))\n", - " )\n", - " ### INSERT DESIRED GATES HERE\n", - " # big_qc.x(range(qc1.width(),qc1.width()+qc2.width()))\n", - " for i in range(qubit, qc2.width()):\n", - " if gate == \"CRX\":\n", - " big_qc.crx(ang, i, i + qc1.width())\n", - " if gate == \"CRY\":\n", - " big_qc.cry(ang, i, i + qc1.width())\n", - " if gate == \"SWAP\":\n", - " big_qc.swap(i, i + qc1.width())\n", - " # Example of CNOT between two images\n", - " #########################\n", + " \n", + " integrator = CircuitIntegrator()\n", + " \n", + " if gate == \"CRX\":\n", + " connection_map = {i: i for i in range(qubit, qc2.width())}\n", + " \n", + " # Define custom rule for CRX gates\n", + " def custom_rule(data_circ, algo_circ, **kwargs):\n", + " combined = QuantumCircuit(data_circ.num_qubits + algo_circ.num_qubits)\n", + " combined.compose(data_circ, qubits=range(data_circ.num_qubits), inplace=True)\n", + " combined.compose(algo_circ, qubits=range(data_circ.num_qubits, combined.num_qubits), inplace=True)\n", + " \n", + " angle = kwargs.get('angle', 0)\n", + " for i in range(qubit, qc2.width()):\n", + " combined.crx(angle, i, i + data_circ.num_qubits)\n", + " return combined\n", + " \n", + " big_qc = integrator.integrate(\n", + " qc1, qc2, \n", + " mode=IntegrationMode.CUSTOM, \n", + " custom_rule=custom_rule,\n", + " angle=ang\n", + " )\n", + " \n", + " elif gate == \"CRY\":\n", + " connection_map = {i: i for i in range(qubit, qc2.width())}\n", + " \n", + " def custom_rule(data_circ, algo_circ, **kwargs):\n", + " combined = QuantumCircuit(data_circ.num_qubits + algo_circ.num_qubits)\n", + " combined.compose(data_circ, qubits=range(data_circ.num_qubits), inplace=True)\n", + " combined.compose(algo_circ, qubits=range(data_circ.num_qubits, combined.num_qubits), inplace=True)\n", + " \n", + " # Apply CRY gates\n", + " angle = kwargs.get('angle', 0)\n", + " for i in range(qubit, qc2.width()):\n", + " combined.cry(angle, i, i + data_circ.num_qubits)\n", + " return combined\n", + " \n", + " big_qc = integrator.integrate(\n", + " qc1, qc2, \n", + " mode=IntegrationMode.CUSTOM, \n", + " custom_rule=custom_rule,\n", + " angle=ang\n", + " )\n", + " \n", + " elif gate == \"SWAP\":\n", + " connection_map = {i: i for i in range(qubit, qc2.width())}\n", + " big_qc = integrator.integrate(\n", + " qc1, qc2, \n", + " mode=IntegrationMode.ENTANGLE, \n", + " connection_map=connection_map,\n", + " entangle_type='swap'\n", + " )\n", + " \n", " job = backend.run(big_qc)\n", " sv = np.real(job.result().get_statevector())\n", - " img = hlp.decodeQPIXL(\n", - " sv, state_to_prob=np.real\n", - " ) # Image 1 is the one that is recovered\n", + " img = hlp.decodeQPIXL(sv, state_to_prob=np.real)\n", " img = hlp.reconstruct_img(img, shape1).T\n", " plt.imshow(img)\n", "\n", - "\n", "gates = [\"CRX\", \"CRY\", \"SWAP\"]\n", "interact(plot_interactive_rot, ang=(0, 2 * np.pi, 0.2), qubit=(0, 8), gate=gates)" ] @@ -696,7 +813,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "metadata": { "jupyter": { "source_hidden": true @@ -707,7 +824,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 12, @@ -729,28 +846,29 @@ "img1 = Image.open(\"figures/creation_world.png\")\n", "shape1 = (32, 32)\n", "img1 = img1.resize(shape1, Image.Resampling.LANCZOS)\n", - "# img1 = examples().invader\n", - "# shape1 = img1.shape#(64,64)\n", "img2 = hlp.examples().space\n", "shape2 = img2.shape\n", "\n", - "\n", "img1 = hlp.convertToAngles(hlp.pad_0(img1))\n", "img2 = hlp.convertToAngles(hlp.pad_0(img2))\n", - "# img2,img1=img1,img2\n", + "\n", "qc1 = cFRQI(img1, 80)\n", "qc2 = cFRQI(img2, 50)\n", - "big_qc = QuantumCircuit(qc1.width() + qc2.width())\n", - "big_qc = big_qc.compose(qc1, qubits=list(range(qc1.width())))\n", - "big_qc = big_qc.compose(qc2, qubits=list(range(qc1.width(), qc1.width() + qc2.width())))\n", - "### INSERT DESIRED GATES HERE\n", - "for i in [0, 2, 4, 6]:\n", - " big_qc.cx(i, i + qc1.width())\n", - " # Example of CNOT between two image states, as an \"entangling operation\"\n", - "#########################\n", + "\n", + "integrator = CircuitIntegrator()\n", + "\n", + "connection_map = {i: i for i in [0, 2, 4, 6]}\n", + "\n", + "big_qc = integrator.integrate(\n", + " qc1, \n", + " qc2, \n", + " mode=IntegrationMode.ENTANGLE,\n", + " connection_map=connection_map\n", + ")\n", + "\n", "job = backend.run(big_qc)\n", "sv = np.abs(job.result().get_statevector())\n", - "img = hlp.decodeQPIXL(sv, state_to_prob=np.real) # Image 1 is the one that is recovered\n", + "img = hlp.decodeQPIXL(sv, state_to_prob=np.real)\n", "img = hlp.reconstruct_img(img, shape1)\n", "plt.imshow(img)" ] @@ -759,28 +877,717 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Animations\n", - "You can even use it to make animations!" + "# Circuit Integration Framework\n", + "\n", + "To address the need for flexible circuit integration, the `CircuitIntegrator` class provides a unified mechanism for combining quantum circuits in various ways. This is particularly useful for:\n", + "\n", + "1. **Merging data circuits with algorithm circuits**\n", + "2. **Applying entanglement operations between circuits**\n", + "3. **Creating custom integration patterns**\n", + "\n", + "The following demonstration shows the key integration modes available:\n", + "- **MERGE**: Places circuits side by side with optional connections\n", + "- **ENTANGLE**: Connects circuits using specified entangling operations\n", + "- **CUSTOM**: Applies user-defined integration rules\n", + "\n", + "Each mode offers different ways to combine QPIXL data encodings with quantum algorithms, allowing for experimentation with various quantum circuit architectures." ] }, { "cell_type": "code", - "execution_count": 14, - "metadata": { - "tags": [] - }, + "execution_count": null, + "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "MERGE integration depth: 205\n", + "ENTANGLE integration depth: 205\n", + "CUSTOM integration depth: 205\n" + ] + }, { "data": { - "image/png": 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", + "text/html": [ + "
      ┌───────────┐┌───┐┌─────────────┐┌───┐┌──────────┐┌───┐┌───────────┐┌───┐┌───┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐┌──────────────┐┌───┐»\n",
+       " q_0: ┤ Ry(1.129) ├┤ X ├┤ Ry(0.24544) ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ X ├┤ X ├┤ Ry(π/16) ├┤ X ├┤ Ry(π/16) ├┤ X ├┤ Ry(-0.34361) ├┤ X ├»\n",
+       "      └───┬───┬───┘└─┬─┘└─────────────┘└─┬─┘└──────────┘└─┬─┘└───────────┘└─┬─┘└─┬─┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘└──────────────┘└─┬─┘»\n",
+       " q_1: ────┤ H ├──────■───────────────────┼────────────────■─────────────────┼────┼────■────────────────■────────────────┼────────────────────■──»\n",
+       "          ├───┤                          │                                  │    │                                      │                       »\n",
+       " q_2: ────┤ H ├──────────────────────────■──────────────────────────────────┼────■──────────────────────────────────────┼───────────────────────»\n",
+       "          ├───┤                                                             │                                           │                       »\n",
+       " q_3: ────┤ H ├─────────────────────────────────────────────────────────────■───────────────────────────────────────────┼───────────────────────»\n",
+       "          ├───┤                                                                                                         │                       »\n",
+       " q_4: ────┤ H ├─────────────────────────────────────────────────────────────────────────────────────────────────────────■───────────────────────»\n",
+       "          ├───┤                                                                                                                                 »\n",
+       " q_5: ────┤ H ├─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "          ├───┤                                                                                                                                 »\n",
+       " q_6: ────┤ H ├─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "          ├───┤                                                                                                                                 »\n",
+       " q_7: ────┤ H ├─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "          ├───┤                                                                                                                                 »\n",
+       " q_8: ────┤ H ├──────■──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "          └───┘    ┌─┴─┐                                                                                                                        »\n",
+       " q_9: ─────────────┤ X ├────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "       ┌─────────┐ └───┘                                                                                                                        »\n",
+       "q_10: ─┤ Rx(π/4) ├──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "       └─────────┘                                                                                                                              »\n",
+       "«      ┌──────────────┐┌───┐┌───────────┐┌───┐┌──────────────┐┌───┐┌──────────────┐┌───┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐»\n",
+       "« q_0: ┤ Ry(-0.14726) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-0.24544) ├┤ X ├┤ Ry(-0.29452) ├┤ X ├┤ X ├┤ Ry(-π/32) ├┤ X ├┤ Ry(3π/16) ├┤ X ├┤ Ry(-π/32) ├┤ X ├»\n",
+       "«      └──────────────┘└─┬─┘└───────────┘└─┬─┘└──────────────┘└─┬─┘└──────────────┘└─┬─┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘»\n",
+       "« q_1: ──────────────────┼─────────────────■────────────────────┼────────────────────┼────■─────────────────■─────────────────┼─────────────────┼──»\n",
+       "«                        │                                      │                    │                                        │                 │  »\n",
+       "« q_2: ──────────────────■──────────────────────────────────────┼────────────────────■────────────────────────────────────────┼─────────────────■──»\n",
+       "«                                                               │                                                             │                    »\n",
+       "« q_3: ─────────────────────────────────────────────────────────■─────────────────────────────────────────────────────────────┼────────────────────»\n",
+       "«                                                                                                                             │                    »\n",
+       "« q_4: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┼────────────────────»\n",
+       "«                                                                                                                             │                    »\n",
+       "« q_5: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────■────────────────────»\n",
+       "«                                                                                                                                                  »\n",
+       "« q_6: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                  »\n",
+       "« q_7: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                  »\n",
+       "« q_8: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                  »\n",
+       "« q_9: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                  »\n",
+       "«q_10: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                  »\n",
+       "«      ┌───┐┌───────────┐┌───┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐┌───┐┌───┐»\n",
+       "« q_0: ┤ X ├┤ Ry(-π/32) ├┤ X ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ Ry(π/16) ├┤ X ├┤ Ry(π/16) ├┤ X ├┤ X ├┤ X ├»\n",
+       "«      └─┬─┘└───────────┘└─┬─┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘└─┬─┘└─┬─┘»\n",
+       "« q_1: ──■─────────────────┼────■─────────────────■─────────────────┼────────────────■────────────────┼────────────────■────────────────┼────┼────■──»\n",
+       "«                          │                                        │                                 │                                 │    │       »\n",
+       "« q_2: ────────────────────┼────────────────────────────────────────■─────────────────────────────────┼─────────────────────────────────┼────■───────»\n",
+       "«                          │                                                                          │                                 │            »\n",
+       "« q_3: ────────────────────■──────────────────────────────────────────────────────────────────────────┼─────────────────────────────────■────────────»\n",
+       "«                                                                                                     │                                              »\n",
+       "« q_4: ───────────────────────────────────────────────────────────────────────────────────────────────■──────────────────────────────────────────────»\n",
+       "«                                                                                                                                                    »\n",
+       "« q_5: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                    »\n",
+       "« q_6: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                    »\n",
+       "« q_7: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                    »\n",
+       "« q_8: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                    »\n",
+       "« q_9: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                    »\n",
+       "«q_10: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                    »\n",
+       "«      ┌──────────┐┌───┐┌───────────┐┌───┐┌─────────────┐┌───┐┌───────────┐┌───┐┌──────────────┐┌───┐┌─────────────┐┌───┐┌──────────┐┌───┐»\n",
+       "« q_0: ┤ Ry(π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(0.14726) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-0.14726) ├┤ X ├┤ Ry(0.14726) ├┤ X ├┤ Ry(π/32) ├┤ X ├»\n",
+       "«      └──────────┘└─┬─┘└───────────┘└─┬─┘└─────────────┘└─┬─┘└───────────┘└─┬─┘└──────────────┘└─┬─┘└─────────────┘└─┬─┘└──────────┘└─┬─┘»\n",
+       "« q_1: ──────────────■─────────────────┼───────────────────┼─────────────────┼────────────────────■───────────────────┼────────────────■──»\n",
+       "«                                      │                   │                 │                                        │                   »\n",
+       "« q_2: ────────────────────────────────■───────────────────┼─────────────────■────────────────────────────────────────┼───────────────────»\n",
+       "«                                                          │                                                          │                   »\n",
+       "« q_3: ────────────────────────────────────────────────────┼──────────────────────────────────────────────────────────■───────────────────»\n",
+       "«                                                          │                                                                              »\n",
+       "« q_4: ────────────────────────────────────────────────────┼──────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                          │                                                                              »\n",
+       "« q_5: ────────────────────────────────────────────────────┼──────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                          │                                                                              »\n",
+       "« q_6: ────────────────────────────────────────────────────■──────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                         »\n",
+       "« q_7: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                         »\n",
+       "« q_8: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                         »\n",
+       "« q_9: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                         »\n",
+       "«q_10: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                         »\n",
+       "«      ┌───────────┐┌───┐┌───────────┐┌───┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌───┐┌───────────┐┌───┐»\n",
+       "« q_0: ┤ Ry(-π/32) ├┤ X ├┤ Ry(-π/16) ├┤ X ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ X ├┤ Ry(-π/32) ├┤ X ├»\n",
+       "«      └───────────┘└─┬─┘└───────────┘└─┬─┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└─┬─┘└───────────┘└─┬─┘»\n",
+       "« q_1: ───────────────┼─────────────────┼────■─────────────────■─────────────────┼─────────────────■─────────────────┼────■─────────────────┼──»\n",
+       "«                     │                 │                                        │                                   │                      │  »\n",
+       "« q_2: ───────────────■─────────────────┼────────────────────────────────────────■───────────────────────────────────┼──────────────────────■──»\n",
+       "«                                       │                                                                            │                         »\n",
+       "« q_3: ─────────────────────────────────┼────────────────────────────────────────────────────────────────────────────■─────────────────────────»\n",
+       "«                                       │                                                                                                      »\n",
+       "« q_4: ─────────────────────────────────■──────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                              »\n",
+       "« q_5: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                              »\n",
+       "« q_6: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                              »\n",
+       "« q_7: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                              »\n",
+       "« q_8: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                              »\n",
+       "« q_9: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                              »\n",
+       "«q_10: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                              »\n",
+       "«      ┌──────────┐┌───┐┌───────────┐┌───┐┌──────────┐┌───┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐┌───┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐┌───┐»\n",
+       "« q_0: ┤ Ry(π/32) ├┤ X ├┤ Ry(-π/32) ├┤ X ├┤ Ry(π/32) ├┤ X ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ X ├┤ X ├┤ Ry(π/32) ├┤ X ├┤ Ry(π/32) ├┤ X ├┤ X ├»\n",
+       "«      └──────────┘└─┬─┘└───────────┘└─┬─┘└──────────┘└─┬─┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘└─┬─┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘└─┬─┘»\n",
+       "« q_1: ──────────────┼─────────────────┼────────────────┼────■────────────────■────────────────┼────┼────■────────────────■────────────────┼────■──»\n",
+       "«                    │                 │                │                                      │    │                                      │       »\n",
+       "« q_2: ──────────────┼─────────────────■────────────────┼──────────────────────────────────────┼────■──────────────────────────────────────┼───────»\n",
+       "«                    │                                  │                                      │                                           │       »\n",
+       "« q_3: ──────────────┼──────────────────────────────────■──────────────────────────────────────┼───────────────────────────────────────────■───────»\n",
+       "«                    │                                                                         │                                                   »\n",
+       "« q_4: ──────────────┼─────────────────────────────────────────────────────────────────────────■───────────────────────────────────────────────────»\n",
+       "«                    │                                                                                                                             »\n",
+       "« q_5: ──────────────■─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                  »\n",
+       "« q_6: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                  »\n",
+       "« q_7: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                  »\n",
+       "« q_8: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                  »\n",
+       "« q_9: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                  »\n",
+       "«q_10: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                  »\n",
+       "«      ┌──────────┐┌───┐┌──────────────┐┌───┐┌───┐┌─────────────┐┌───┐┌──────────────┐┌───┐┌───┐┌───┐┌─────────────┐┌───┐┌──────────┐┌───┐»\n",
+       "« q_0: ┤ Ry(π/64) ├┤ X ├┤ Ry(-0.53996) ├┤ X ├┤ X ├┤ Ry(0.14726) ├┤ X ├┤ Ry(-0.14726) ├┤ X ├┤ X ├┤ X ├┤ Ry(0.24544) ├┤ X ├┤ Ry(π/64) ├┤ X ├»\n",
+       "«      └──────────┘└─┬─┘└──────────────┘└─┬─┘└─┬─┘└─────────────┘└─┬─┘└──────────────┘└─┬─┘└─┬─┘└─┬─┘└─────────────┘└─┬─┘└──────────┘└─┬─┘»\n",
+       "« q_1: ──────────────┼────────────────────┼────■───────────────────■────────────────────┼────┼────┼───────────────────■────────────────┼──»\n",
+       "«                    │                    │                                             │    │    │                                    │  »\n",
+       "« q_2: ──────────────┼────────────────────■─────────────────────────────────────────────┼────┼────■────────────────────────────────────■──»\n",
+       "«                    │                                                                  │    │                                            »\n",
+       "« q_3: ──────────────┼──────────────────────────────────────────────────────────────────┼────■────────────────────────────────────────────»\n",
+       "«                    │                                                                  │                                                 »\n",
+       "« q_4: ──────────────┼──────────────────────────────────────────────────────────────────■─────────────────────────────────────────────────»\n",
+       "«                    │                                                                                                                    »\n",
+       "« q_5: ──────────────┼────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                    │                                                                                                                    »\n",
+       "« q_6: ──────────────┼────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                    │                                                                                                                    »\n",
+       "« q_7: ──────────────■────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                         »\n",
+       "« q_8: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                         »\n",
+       "« q_9: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                         »\n",
+       "«q_10: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                         »\n",
+       "«      ┌───────────┐┌───┐┌─────────────┐┌───┐┌───┐┌──────────┐┌───┐┌───┐┌──────────────┐┌───┐┌───────────┐┌───┐┌──────────┐┌───┐┌───────────┐┌───┐»\n",
+       "« q_0: ┤ Ry(-π/64) ├┤ X ├┤ Ry(0.14726) ├┤ X ├┤ X ├┤ Ry(π/32) ├┤ X ├┤ X ├┤ Ry(-0.29452) ├┤ X ├┤ Ry(-π/16) ├┤ X ├┤ Ry(π/32) ├┤ X ├┤ Ry(-π/16) ├┤ X ├»\n",
+       "«      └───────────┘└─┬─┘└─────────────┘└─┬─┘└─┬─┘└──────────┘└─┬─┘└─┬─┘└──────────────┘└─┬─┘└───────────┘└─┬─┘└──────────┘└─┬─┘└───────────┘└─┬─┘»\n",
+       "« q_1: ───────────────■───────────────────┼────■────────────────┼────■────────────────────┼─────────────────■────────────────┼─────────────────■──»\n",
+       "«                                         │                     │                         │                                  │                    »\n",
+       "« q_2: ───────────────────────────────────┼─────────────────────■─────────────────────────┼──────────────────────────────────■────────────────────»\n",
+       "«                                         │                                               │                                                       »\n",
+       "« q_3: ───────────────────────────────────■───────────────────────────────────────────────┼───────────────────────────────────────────────────────»\n",
+       "«                                                                                         │                                                       »\n",
+       "« q_4: ───────────────────────────────────────────────────────────────────────────────────┼───────────────────────────────────────────────────────»\n",
+       "«                                                                                         │                                                       »\n",
+       "« q_5: ───────────────────────────────────────────────────────────────────────────────────■───────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                 »\n",
+       "« q_6: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                 »\n",
+       "« q_7: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                 »\n",
+       "« q_8: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                 »\n",
+       "« q_9: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                 »\n",
+       "«q_10: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                 »\n",
+       "«      ┌──────────┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐┌───┐┌───┐»\n",
+       "« q_0: ┤ Ry(π/32) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ Ry(π/16) ├┤ X ├┤ Ry(π/16) ├┤ X ├┤ X ├┤ X ├»\n",
+       "«      └──────────┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘└─┬─┘└─┬─┘»\n",
+       "« q_1: ──────────────┼─────────────────■─────────────────┼────────────────■────────────────┼────────────────■────────────────┼────┼────■──»\n",
+       "«                    │                                   │                                 │                                 │    │       »\n",
+       "« q_2: ──────────────┼───────────────────────────────────■─────────────────────────────────┼─────────────────────────────────┼────■───────»\n",
+       "«                    │                                                                     │                                 │            »\n",
+       "« q_3: ──────────────■─────────────────────────────────────────────────────────────────────┼─────────────────────────────────■────────────»\n",
+       "«                                                                                          │                                              »\n",
+       "« q_4: ────────────────────────────────────────────────────────────────────────────────────■──────────────────────────────────────────────»\n",
+       "«                                                                                                                                         »\n",
+       "« q_5: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                         »\n",
+       "« q_6: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                         »\n",
+       "« q_7: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                         »\n",
+       "« q_8: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                         »\n",
+       "« q_9: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                         »\n",
+       "«q_10: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                         »\n",
+       "«      ┌─────────────┐┌───┐┌──────────────┐┌───┐┌─────────────┐┌───┐┌──────────┐┌───┐┌─────────────┐┌───┐┌──────────────┐┌───┐┌───────────┐┌───┐»\n",
+       "« q_0: ┤ Ry(0.14726) ├┤ X ├┤ Ry(-0.14726) ├┤ X ├┤ Ry(0.24544) ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ Ry(0.14726) ├┤ X ├┤ Ry(-0.14726) ├┤ X ├┤ Ry(-π/32) ├┤ X ├»\n",
+       "«      └─────────────┘└─┬─┘└──────────────┘└─┬─┘└─────────────┘└─┬─┘└──────────┘└─┬─┘└─────────────┘└─┬─┘└──────────────┘└─┬─┘└───────────┘└─┬─┘»\n",
+       "« q_1: ─────────────────■────────────────────┼───────────────────┼────────────────┼───────────────────■────────────────────┼─────────────────■──»\n",
+       "«                                            │                   │                │                                        │                    »\n",
+       "« q_2: ──────────────────────────────────────■───────────────────┼────────────────■────────────────────────────────────────┼────────────────────»\n",
+       "«                                                                │                                                         │                    »\n",
+       "« q_3: ──────────────────────────────────────────────────────────┼─────────────────────────────────────────────────────────■────────────────────»\n",
+       "«                                                                │                                                                              »\n",
+       "« q_4: ──────────────────────────────────────────────────────────┼──────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                │                                                                              »\n",
+       "« q_5: ──────────────────────────────────────────────────────────┼──────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                │                                                                              »\n",
+       "« q_6: ──────────────────────────────────────────────────────────■──────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                               »\n",
+       "« q_7: ─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                               »\n",
+       "« q_8: ─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                               »\n",
+       "« q_9: ─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                               »\n",
+       "«q_10: ─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                               »\n",
+       "«      ┌──────────┐┌───┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌──────────┐»\n",
+       "« q_0: ┤ Ry(π/32) ├┤ X ├┤ X ├┤ Ry(-π/16) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-π/32) ├┤ X ├┤ Ry(π/32) ├»\n",
+       "«      └──────────┘└─┬─┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└──────────┘»\n",
+       "« q_1: ──────────────┼────■─────────────────┼─────────────────■─────────────────┼─────────────────■─────────────────┼─────────────────┼──────────────»\n",
+       "«                    │                      │                                   │                                   │                 │              »\n",
+       "« q_2: ──────────────■──────────────────────┼───────────────────────────────────■───────────────────────────────────┼─────────────────■──────────────»\n",
+       "«                                           │                                                                       │                                »\n",
+       "« q_3: ─────────────────────────────────────┼───────────────────────────────────────────────────────────────────────■────────────────────────────────»\n",
+       "«                                           │                                                                                                        »\n",
+       "« q_4: ─────────────────────────────────────■────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                    »\n",
+       "« q_5: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                    »\n",
+       "« q_6: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                    »\n",
+       "« q_7: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                    »\n",
+       "« q_8: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                    »\n",
+       "« q_9: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                    »\n",
+       "«q_10: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                    »\n",
+       "«      ┌───┐┌───────────┐┌───┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌──────────────┐┌───┐┌──────────────┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐»\n",
+       "« q_0: ┤ X ├┤ Ry(-π/32) ├┤ X ├┤ X ├┤ Ry(-π/16) ├┤ X ├┤ Ry(-π/32) ├┤ X ├┤ Ry(-0.14726) ├┤ X ├┤ Ry(-0.14726) ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ Ry(π/64) ├┤ X ├»\n",
+       "«      └─┬─┘└───────────┘└─┬─┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└──────────────┘└─┬─┘└──────────────┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘»\n",
+       "« q_1: ──┼─────────────────┼────■─────────────────■─────────────────┼────────────────────■────────────────────┼────────────────■────────────────┼──»\n",
+       "«        │                 │                                        │                                         │                                 │  »\n",
+       "« q_2: ──┼─────────────────■────────────────────────────────────────┼─────────────────────────────────────────■─────────────────────────────────┼──»\n",
+       "«        │                                                          │                                                                           │  »\n",
+       "« q_3: ──┼──────────────────────────────────────────────────────────■───────────────────────────────────────────────────────────────────────────┼──»\n",
+       "«        │                                                                                                                                      │  »\n",
+       "« q_4: ──┼──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────■──»\n",
+       "«        │                                                                                                                                         »\n",
+       "« q_5: ──■─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                  »\n",
+       "« q_6: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                  »\n",
+       "« q_7: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                  »\n",
+       "« q_8: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                  »\n",
+       "« q_9: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                  »\n",
+       "«q_10: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n",
+       "«                                                                                                                                                  »\n",
+       "«      ┌───────────┐┌───┐┌───────────┐┌───┐┌───┐┌───┐┌──────────┐┌───┐┌───────────┐┌───┐┌──────────────┐┌───┐┌──────────────┐┌───┐     \n",
+       "« q_0: ┤ Ry(-π/32) ├┤ X ├┤ Ry(-π/32) ├┤ X ├┤ X ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-0.14726) ├┤ X ├┤ Ry(-0.24544) ├┤ X ├──■──\n",
+       "«      └───────────┘└─┬─┘└───────────┘└─┬─┘└─┬─┘└─┬─┘└──────────┘└─┬─┘└───────────┘└─┬─┘└──────────────┘└─┬─┘└──────────────┘└─┬─┘  │  \n",
+       "« q_1: ───────────────■─────────────────┼────┼────■────────────────■─────────────────┼────────────────────■────────────────────┼────┼──\n",
+       "«                                       │    │                                       │                                         │    │  \n",
+       "« q_2: ─────────────────────────────────┼────■───────────────────────────────────────■─────────■───────────────────────────────┼────┼──\n",
+       "«                                       │                                                      │                               │    │  \n",
+       "« q_3: ─────────────────────────────────■──────────────────────────────────────────────────────┼───────────────────────────────┼────┼──\n",
+       "«                                                                                              │                               │    │  \n",
+       "« q_4: ────────────────────────────────────────────────────────────────────────────────────────┼───────────────────────────────┼────┼──\n",
+       "«                                                                                              │                               │    │  \n",
+       "« q_5: ────────────────────────────────────────────────────────────────────────────────────────┼───────────────────────────────┼────┼──\n",
+       "«                                                                                              │                               │    │  \n",
+       "« q_6: ────────────────────────────────────────────────────────────────────────────────────────┼───────────────────────────────┼────┼──\n",
+       "«                                                                                              │                               │    │  \n",
+       "« q_7: ────────────────────────────────────────────────────────────────────────────────────────┼───────────────────────────────■────┼──\n",
+       "«                                                                                              │                                  ┌─┴─┐\n",
+       "« q_8: ────────────────────────────────────────────────────────────────────────────────────────┼──────────────────────────────────┤ X ├\n",
+       "«                                                                                              │                                  └───┘\n",
+       "« q_9: ────────────────────────────────────────────────────────────────────────────────────────┼───────────────────────────────────────\n",
+       "«                                                                                            ┌─┴─┐                                     \n",
+       "«q_10: ──────────────────────────────────────────────────────────────────────────────────────┤ X ├─────────────────────────────────────\n",
+       "«                                                                                            └───┘                                     
" + ], "text/plain": [ - "
" + " ┌───────────┐┌───┐┌─────────────┐┌───┐┌──────────┐┌───┐┌───────────┐┌───┐┌───┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐┌──────────────┐┌───┐»\n", + " q_0: ┤ Ry(1.129) ├┤ X ├┤ Ry(0.24544) ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ X ├┤ X ├┤ Ry(π/16) ├┤ X ├┤ Ry(π/16) ├┤ X ├┤ Ry(-0.34361) ├┤ X ├»\n", + " └───┬───┬───┘└─┬─┘└─────────────┘└─┬─┘└──────────┘└─┬─┘└───────────┘└─┬─┘└─┬─┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘└──────────────┘└─┬─┘»\n", + " q_1: ────┤ H ├──────■───────────────────┼────────────────■─────────────────┼────┼────■────────────────■────────────────┼────────────────────■──»\n", + " ├───┤ │ │ │ │ »\n", + " q_2: ────┤ H ├──────────────────────────■──────────────────────────────────┼────■──────────────────────────────────────┼───────────────────────»\n", + " ├───┤ │ │ »\n", + " q_3: ────┤ H ├─────────────────────────────────────────────────────────────■───────────────────────────────────────────┼───────────────────────»\n", + " ├───┤ │ »\n", + " q_4: ────┤ H ├─────────────────────────────────────────────────────────────────────────────────────────────────────────■───────────────────────»\n", + " ├───┤ »\n", + " q_5: ────┤ H ├─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + " ├───┤ »\n", + " q_6: ────┤ H ├─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + " ├───┤ »\n", + " q_7: ────┤ H ├─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + " ├───┤ »\n", + " q_8: ────┤ H ├──────■──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + " └───┘ ┌─┴─┐ »\n", + " q_9: ─────────────┤ X ├────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + " ┌─────────┐ └───┘ »\n", + "q_10: ─┤ Rx(π/4) ├──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + " └─────────┘ »\n", + "« ┌──────────────┐┌───┐┌───────────┐┌───┐┌──────────────┐┌───┐┌──────────────┐┌───┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐»\n", + "« q_0: ┤ Ry(-0.14726) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-0.24544) ├┤ X ├┤ Ry(-0.29452) ├┤ X ├┤ X ├┤ Ry(-π/32) ├┤ X ├┤ Ry(3π/16) ├┤ X ├┤ Ry(-π/32) ├┤ X ├»\n", + "« └──────────────┘└─┬─┘└───────────┘└─┬─┘└──────────────┘└─┬─┘└──────────────┘└─┬─┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘»\n", + "« q_1: ──────────────────┼─────────────────■────────────────────┼────────────────────┼────■─────────────────■─────────────────┼─────────────────┼──»\n", + "« │ │ │ │ │ »\n", + "« q_2: ──────────────────■──────────────────────────────────────┼────────────────────■────────────────────────────────────────┼─────────────────■──»\n", + "« │ │ »\n", + "« q_3: ─────────────────────────────────────────────────────────■─────────────────────────────────────────────────────────────┼────────────────────»\n", + "« │ »\n", + "« q_4: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┼────────────────────»\n", + "« │ »\n", + "« q_5: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────■────────────────────»\n", + "« »\n", + "« q_6: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_7: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_8: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_9: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "«q_10: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« ┌───┐┌───────────┐┌───┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐┌───┐┌───┐»\n", + "« q_0: ┤ X ├┤ Ry(-π/32) ├┤ X ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ Ry(π/16) ├┤ X ├┤ Ry(π/16) ├┤ X ├┤ X ├┤ X ├»\n", + "« └─┬─┘└───────────┘└─┬─┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘└─┬─┘└─┬─┘»\n", + "« q_1: ──■─────────────────┼────■─────────────────■─────────────────┼────────────────■────────────────┼────────────────■────────────────┼────┼────■──»\n", + "« │ │ │ │ │ »\n", + "« q_2: ────────────────────┼────────────────────────────────────────■─────────────────────────────────┼─────────────────────────────────┼────■───────»\n", + "« │ │ │ »\n", + "« q_3: ────────────────────■──────────────────────────────────────────────────────────────────────────┼─────────────────────────────────■────────────»\n", + "« │ »\n", + "« q_4: ───────────────────────────────────────────────────────────────────────────────────────────────■──────────────────────────────────────────────»\n", + "« »\n", + "« q_5: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_6: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_7: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_8: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_9: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "«q_10: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« ┌──────────┐┌───┐┌───────────┐┌───┐┌─────────────┐┌───┐┌───────────┐┌───┐┌──────────────┐┌───┐┌─────────────┐┌───┐┌──────────┐┌───┐»\n", + "« q_0: ┤ Ry(π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(0.14726) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-0.14726) ├┤ X ├┤ Ry(0.14726) ├┤ X ├┤ Ry(π/32) ├┤ X ├»\n", + "« └──────────┘└─┬─┘└───────────┘└─┬─┘└─────────────┘└─┬─┘└───────────┘└─┬─┘└──────────────┘└─┬─┘└─────────────┘└─┬─┘└──────────┘└─┬─┘»\n", + "« q_1: ──────────────■─────────────────┼───────────────────┼─────────────────┼────────────────────■───────────────────┼────────────────■──»\n", + "« │ │ │ │ »\n", + "« q_2: ────────────────────────────────■───────────────────┼─────────────────■────────────────────────────────────────┼───────────────────»\n", + "« │ │ »\n", + "« q_3: ────────────────────────────────────────────────────┼──────────────────────────────────────────────────────────■───────────────────»\n", + "« │ »\n", + "« q_4: ────────────────────────────────────────────────────┼──────────────────────────────────────────────────────────────────────────────»\n", + "« │ »\n", + "« q_5: ────────────────────────────────────────────────────┼──────────────────────────────────────────────────────────────────────────────»\n", + "« │ »\n", + "« q_6: ────────────────────────────────────────────────────■──────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_7: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_8: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_9: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "«q_10: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« ┌───────────┐┌───┐┌───────────┐┌───┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌───┐┌───────────┐┌───┐»\n", + "« q_0: ┤ Ry(-π/32) ├┤ X ├┤ Ry(-π/16) ├┤ X ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ X ├┤ Ry(-π/32) ├┤ X ├»\n", + "« └───────────┘└─┬─┘└───────────┘└─┬─┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└─┬─┘└───────────┘└─┬─┘»\n", + "« q_1: ───────────────┼─────────────────┼────■─────────────────■─────────────────┼─────────────────■─────────────────┼────■─────────────────┼──»\n", + "« │ │ │ │ │ »\n", + "« q_2: ───────────────■─────────────────┼────────────────────────────────────────■───────────────────────────────────┼──────────────────────■──»\n", + "« │ │ »\n", + "« q_3: ─────────────────────────────────┼────────────────────────────────────────────────────────────────────────────■─────────────────────────»\n", + "« │ »\n", + "« q_4: ─────────────────────────────────■──────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_5: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_6: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_7: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_8: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_9: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "«q_10: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« ┌──────────┐┌───┐┌───────────┐┌───┐┌──────────┐┌───┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐┌───┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐┌───┐»\n", + "« q_0: ┤ Ry(π/32) ├┤ X ├┤ Ry(-π/32) ├┤ X ├┤ Ry(π/32) ├┤ X ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ X ├┤ X ├┤ Ry(π/32) ├┤ X ├┤ Ry(π/32) ├┤ X ├┤ X ├»\n", + "« └──────────┘└─┬─┘└───────────┘└─┬─┘└──────────┘└─┬─┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘└─┬─┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘└─┬─┘»\n", + "« q_1: ──────────────┼─────────────────┼────────────────┼────■────────────────■────────────────┼────┼────■────────────────■────────────────┼────■──»\n", + "« │ │ │ │ │ │ »\n", + "« q_2: ──────────────┼─────────────────■────────────────┼──────────────────────────────────────┼────■──────────────────────────────────────┼───────»\n", + "« │ │ │ │ »\n", + "« q_3: ──────────────┼──────────────────────────────────■──────────────────────────────────────┼───────────────────────────────────────────■───────»\n", + "« │ │ »\n", + "« q_4: ──────────────┼─────────────────────────────────────────────────────────────────────────■───────────────────────────────────────────────────»\n", + "« │ »\n", + "« q_5: ──────────────■─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_6: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_7: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_8: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_9: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "«q_10: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« ┌──────────┐┌───┐┌──────────────┐┌───┐┌───┐┌─────────────┐┌───┐┌──────────────┐┌───┐┌───┐┌───┐┌─────────────┐┌───┐┌──────────┐┌───┐»\n", + "« q_0: ┤ Ry(π/64) ├┤ X ├┤ Ry(-0.53996) ├┤ X ├┤ X ├┤ Ry(0.14726) ├┤ X ├┤ Ry(-0.14726) ├┤ X ├┤ X ├┤ X ├┤ Ry(0.24544) ├┤ X ├┤ Ry(π/64) ├┤ X ├»\n", + "« └──────────┘└─┬─┘└──────────────┘└─┬─┘└─┬─┘└─────────────┘└─┬─┘└──────────────┘└─┬─┘└─┬─┘└─┬─┘└─────────────┘└─┬─┘└──────────┘└─┬─┘»\n", + "« q_1: ──────────────┼────────────────────┼────■───────────────────■────────────────────┼────┼────┼───────────────────■────────────────┼──»\n", + "« │ │ │ │ │ │ »\n", + "« q_2: ──────────────┼────────────────────■─────────────────────────────────────────────┼────┼────■────────────────────────────────────■──»\n", + "« │ │ │ »\n", + "« q_3: ──────────────┼──────────────────────────────────────────────────────────────────┼────■────────────────────────────────────────────»\n", + "« │ │ »\n", + "« q_4: ──────────────┼──────────────────────────────────────────────────────────────────■─────────────────────────────────────────────────»\n", + "« │ »\n", + "« q_5: ──────────────┼────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« │ »\n", + "« q_6: ──────────────┼────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« │ »\n", + "« q_7: ──────────────■────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_8: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_9: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "«q_10: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« ┌───────────┐┌───┐┌─────────────┐┌───┐┌───┐┌──────────┐┌───┐┌───┐┌──────────────┐┌───┐┌───────────┐┌───┐┌──────────┐┌───┐┌───────────┐┌───┐»\n", + "« q_0: ┤ Ry(-π/64) ├┤ X ├┤ Ry(0.14726) ├┤ X ├┤ X ├┤ Ry(π/32) ├┤ X ├┤ X ├┤ Ry(-0.29452) ├┤ X ├┤ Ry(-π/16) ├┤ X ├┤ Ry(π/32) ├┤ X ├┤ Ry(-π/16) ├┤ X ├»\n", + "« └───────────┘└─┬─┘└─────────────┘└─┬─┘└─┬─┘└──────────┘└─┬─┘└─┬─┘└──────────────┘└─┬─┘└───────────┘└─┬─┘└──────────┘└─┬─┘└───────────┘└─┬─┘»\n", + "« q_1: ───────────────■───────────────────┼────■────────────────┼────■────────────────────┼─────────────────■────────────────┼─────────────────■──»\n", + "« │ │ │ │ »\n", + "« q_2: ───────────────────────────────────┼─────────────────────■─────────────────────────┼──────────────────────────────────■────────────────────»\n", + "« │ │ »\n", + "« q_3: ───────────────────────────────────■───────────────────────────────────────────────┼───────────────────────────────────────────────────────»\n", + "« │ »\n", + "« q_4: ───────────────────────────────────────────────────────────────────────────────────┼───────────────────────────────────────────────────────»\n", + "« │ »\n", + "« q_5: ───────────────────────────────────────────────────────────────────────────────────■───────────────────────────────────────────────────────»\n", + "« »\n", + "« q_6: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_7: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_8: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_9: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "«q_10: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« ┌──────────┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐┌───┐┌───┐»\n", + "« q_0: ┤ Ry(π/32) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ Ry(π/16) ├┤ X ├┤ Ry(π/16) ├┤ X ├┤ X ├┤ X ├»\n", + "« └──────────┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘└─┬─┘└─┬─┘»\n", + "« q_1: ──────────────┼─────────────────■─────────────────┼────────────────■────────────────┼────────────────■────────────────┼────┼────■──»\n", + "« │ │ │ │ │ »\n", + "« q_2: ──────────────┼───────────────────────────────────■─────────────────────────────────┼─────────────────────────────────┼────■───────»\n", + "« │ │ │ »\n", + "« q_3: ──────────────■─────────────────────────────────────────────────────────────────────┼─────────────────────────────────■────────────»\n", + "« │ »\n", + "« q_4: ────────────────────────────────────────────────────────────────────────────────────■──────────────────────────────────────────────»\n", + "« »\n", + "« q_5: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_6: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_7: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_8: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_9: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "«q_10: ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« ┌─────────────┐┌───┐┌──────────────┐┌───┐┌─────────────┐┌───┐┌──────────┐┌───┐┌─────────────┐┌───┐┌──────────────┐┌───┐┌───────────┐┌───┐»\n", + "« q_0: ┤ Ry(0.14726) ├┤ X ├┤ Ry(-0.14726) ├┤ X ├┤ Ry(0.24544) ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ Ry(0.14726) ├┤ X ├┤ Ry(-0.14726) ├┤ X ├┤ Ry(-π/32) ├┤ X ├»\n", + "« └─────────────┘└─┬─┘└──────────────┘└─┬─┘└─────────────┘└─┬─┘└──────────┘└─┬─┘└─────────────┘└─┬─┘└──────────────┘└─┬─┘└───────────┘└─┬─┘»\n", + "« q_1: ─────────────────■────────────────────┼───────────────────┼────────────────┼───────────────────■────────────────────┼─────────────────■──»\n", + "« │ │ │ │ »\n", + "« q_2: ──────────────────────────────────────■───────────────────┼────────────────■────────────────────────────────────────┼────────────────────»\n", + "« │ │ »\n", + "« q_3: ──────────────────────────────────────────────────────────┼─────────────────────────────────────────────────────────■────────────────────»\n", + "« │ »\n", + "« q_4: ──────────────────────────────────────────────────────────┼──────────────────────────────────────────────────────────────────────────────»\n", + "« │ »\n", + "« q_5: ──────────────────────────────────────────────────────────┼──────────────────────────────────────────────────────────────────────────────»\n", + "« │ »\n", + "« q_6: ──────────────────────────────────────────────────────────■──────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_7: ─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_8: ─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_9: ─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "«q_10: ─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« ┌──────────┐┌───┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌──────────┐»\n", + "« q_0: ┤ Ry(π/32) ├┤ X ├┤ X ├┤ Ry(-π/16) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-π/32) ├┤ X ├┤ Ry(π/32) ├»\n", + "« └──────────┘└─┬─┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└──────────┘»\n", + "« q_1: ──────────────┼────■─────────────────┼─────────────────■─────────────────┼─────────────────■─────────────────┼─────────────────┼──────────────»\n", + "« │ │ │ │ │ »\n", + "« q_2: ──────────────■──────────────────────┼───────────────────────────────────■───────────────────────────────────┼─────────────────■──────────────»\n", + "« │ │ »\n", + "« q_3: ─────────────────────────────────────┼───────────────────────────────────────────────────────────────────────■────────────────────────────────»\n", + "« │ »\n", + "« q_4: ─────────────────────────────────────■────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_5: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_6: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_7: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_8: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_9: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "«q_10: ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« ┌───┐┌───────────┐┌───┐┌───┐┌───────────┐┌───┐┌───────────┐┌───┐┌──────────────┐┌───┐┌──────────────┐┌───┐┌──────────┐┌───┐┌──────────┐┌───┐»\n", + "« q_0: ┤ X ├┤ Ry(-π/32) ├┤ X ├┤ X ├┤ Ry(-π/16) ├┤ X ├┤ Ry(-π/32) ├┤ X ├┤ Ry(-0.14726) ├┤ X ├┤ Ry(-0.14726) ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ Ry(π/64) ├┤ X ├»\n", + "« └─┬─┘└───────────┘└─┬─┘└─┬─┘└───────────┘└─┬─┘└───────────┘└─┬─┘└──────────────┘└─┬─┘└──────────────┘└─┬─┘└──────────┘└─┬─┘└──────────┘└─┬─┘»\n", + "« q_1: ──┼─────────────────┼────■─────────────────■─────────────────┼────────────────────■────────────────────┼────────────────■────────────────┼──»\n", + "« │ │ │ │ │ »\n", + "« q_2: ──┼─────────────────■────────────────────────────────────────┼─────────────────────────────────────────■─────────────────────────────────┼──»\n", + "« │ │ │ »\n", + "« q_3: ──┼──────────────────────────────────────────────────────────■───────────────────────────────────────────────────────────────────────────┼──»\n", + "« │ │ »\n", + "« q_4: ──┼──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────■──»\n", + "« │ »\n", + "« q_5: ──■─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_6: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_7: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_8: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« q_9: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "«q_10: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────»\n", + "« »\n", + "« ┌───────────┐┌───┐┌───────────┐┌───┐┌───┐┌───┐┌──────────┐┌───┐┌───────────┐┌───┐┌──────────────┐┌───┐┌──────────────┐┌───┐ \n", + "« q_0: ┤ Ry(-π/32) ├┤ X ├┤ Ry(-π/32) ├┤ X ├┤ X ├┤ X ├┤ Ry(π/64) ├┤ X ├┤ Ry(-π/64) ├┤ X ├┤ Ry(-0.14726) ├┤ X ├┤ Ry(-0.24544) ├┤ X ├──■──\n", + "« └───────────┘└─┬─┘└───────────┘└─┬─┘└─┬─┘└─┬─┘└──────────┘└─┬─┘└───────────┘└─┬─┘└──────────────┘└─┬─┘└──────────────┘└─┬─┘ │ \n", + "« q_1: ───────────────■─────────────────┼────┼────■────────────────■─────────────────┼────────────────────■────────────────────┼────┼──\n", + "« │ │ │ │ │ \n", + "« q_2: ─────────────────────────────────┼────■───────────────────────────────────────■─────────■───────────────────────────────┼────┼──\n", + "« │ │ │ │ \n", + "« q_3: ─────────────────────────────────■──────────────────────────────────────────────────────┼───────────────────────────────┼────┼──\n", + "« │ │ │ \n", + "« q_4: ────────────────────────────────────────────────────────────────────────────────────────┼───────────────────────────────┼────┼──\n", + "« │ │ │ \n", + "« q_5: ────────────────────────────────────────────────────────────────────────────────────────┼───────────────────────────────┼────┼──\n", + "« │ │ │ \n", + "« q_6: ────────────────────────────────────────────────────────────────────────────────────────┼───────────────────────────────┼────┼──\n", + "« │ │ │ \n", + "« q_7: ────────────────────────────────────────────────────────────────────────────────────────┼───────────────────────────────■────┼──\n", + "« │ ┌─┴─┐\n", + "« q_8: ────────────────────────────────────────────────────────────────────────────────────────┼──────────────────────────────────┤ X ├\n", + "« │ └───┘\n", + "« q_9: ────────────────────────────────────────────────────────────────────────────────────────┼───────────────────────────────────────\n", + "« ┌─┴─┐ \n", + "«q_10: ──────────────────────────────────────────────────────────────────────────────────────┤ X ├─────────────────────────────────────\n", + "« └───┘ " ] }, + "execution_count": 6, "metadata": {}, - "output_type": "display_data" + "output_type": "execute_result" } ], + "source": [ + "# Complete demonstration of qpixl_integrator capabilities\n", + "def demo_qpixl_integrator():\n", + " data_img = hlp.examples().space\n", + " data_circuit = cFRQI(data_img, 30)\n", + " \n", + " algo_circuit = QuantumCircuit(3)\n", + " algo_circuit.h(0)\n", + " algo_circuit.cx(0, 1)\n", + " algo_circuit.rx(np.pi/4, 2)\n", + " \n", + " integrator = CircuitIntegrator()\n", + " \n", + " results = {}\n", + " \n", + " merged = integrator.integrate(\n", + " data_circuit, \n", + " algo_circuit, \n", + " mode=IntegrationMode.MERGE,\n", + " connection_map={0: 0, 1: 1} \n", + " )\n", + " results['MERGE'] = merged\n", + " \n", + " entangled = integrator.integrate(\n", + " data_circuit,\n", + " algo_circuit,\n", + " mode=IntegrationMode.ENTANGLE,\n", + " connection_map={0: 0, 2: 2},\n", + " entangle_type='cx'\n", + " )\n", + " results['ENTANGLE'] = entangled\n", + " \n", + " def custom_integration(circ1, circ2, **kwargs):\n", + " combined = QuantumCircuit(circ1.num_qubits + circ2.num_qubits)\n", + " combined.compose(circ1, range(circ1.num_qubits), inplace=True)\n", + " combined.compose(circ2, range(circ1.num_qubits, combined.num_qubits), inplace=True)\n", + " combined.h(range(combined.num_qubits))\n", + " return combined\n", + " \n", + " custom = integrator.integrate(\n", + " data_circuit,\n", + " algo_circuit,\n", + " mode=IntegrationMode.CUSTOM,\n", + " custom_rule=custom_integration\n", + " )\n", + " results['CUSTOM'] = custom\n", + " \n", + " for name, circuit in results.items():\n", + " print(f\"{name} integration depth: {circuit.depth()}\")\n", + " \n", + " return results['ENTANGLE']\n", + "\n", + "demo_circuit = demo_qpixl_integrator()\n", + "demo_circuit.draw(fold=150, vertical_compression=\"high\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Animations\n", + "You can even use it to make animations!" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "tags": [] + }, + "outputs": [], "source": [ "img = hlp.examples().space\n", "shape = img.shape\n", @@ -888,7 +1695,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "metadata": { "tags": [] }, @@ -929,7 +1736,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -999,7 +1806,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1145,7 +1952,7 @@ ], "metadata": { "kernelspec": { - "display_name": ".venv", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -1159,7 +1966,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.12.8" + "version": "3.11.9" } }, "nbformat": 4, From 5fc88a5b78bba63424e8f69936cf162f5d0221b7 Mon Sep 17 00:00:00 2001 From: Abdullah Al Omar Galib <109025616+ahkatlio@users.noreply.github.com> Date: Mon, 2 Jun 2025 23:04:52 +0600 Subject: [PATCH 03/26] Update qpixl_integrator.py --- QPIXL/qpixl_integrator.py | 1 - 1 file changed, 1 deletion(-) diff --git a/QPIXL/qpixl_integrator.py b/QPIXL/qpixl_integrator.py index 37bc5aa..e737c78 100644 --- a/QPIXL/qpixl_integrator.py +++ b/QPIXL/qpixl_integrator.py @@ -501,6 +501,5 @@ def example_custom_alg_function(circuit, angle, index): if __name__ == "__main__": - # This code runs when the script is executed directly print("QPIXL Circuit Integrator module loaded successfully.") print("Use CircuitIntegrator and QPIXLAlgorithmEncoder classes to integrate quantum circuits.") \ No newline at end of file From 11bf2a532b08fc530bc9a122bdc51bbe8bbcacd9 Mon Sep 17 00:00:00 2001 From: Abdullah Al Omar Galib <109025616+ahkatlio@users.noreply.github.com> Date: Mon, 2 Jun 2025 23:54:34 +0600 Subject: [PATCH 04/26] Update qpixl_integrator.py --- QPIXL/qpixl_integrator.py | 233 +++++++++----------------------------- 1 file changed, 53 insertions(+), 180 deletions(-) diff --git a/QPIXL/qpixl_integrator.py b/QPIXL/qpixl_integrator.py index e737c78..7547d26 100644 --- a/QPIXL/qpixl_integrator.py +++ b/QPIXL/qpixl_integrator.py @@ -15,7 +15,6 @@ class IntegrationMode(Enum): """Enum defining different modes of circuit integration.""" MERGE = "merge" # Combine circuits side by side SEQUENTIAL = "sequential" # Apply circuits one after another - INTERLEAVED = "interleaved" # Insert algorithm operations during encoding ENTANGLE = "entangle" # Connect circuits with entangling operations CUSTOM = "custom" # User-defined custom integration rule @@ -41,7 +40,7 @@ def integrate(self, Args: data_circuit: The QPIXL-encoded data circuit algorithm_circuit: An arbitrary quantum circuit - mode: Integration mode (merge, sequential, interleaved, entangle, custom) + mode: Integration mode (merge, sequential, entangle, custom) connection_map: Dictionary mapping data qubits to algorithm qubits custom_rule: Custom function to apply for integration **kwargs: Additional arguments for specific integration modes @@ -56,17 +55,13 @@ def integrate(self, except ValueError: raise ValueError(f"Unknown integration mode: {mode}") - # Default empty connection map if not provided if connection_map is None: connection_map = {} - # Select integration method based on mode if mode == IntegrationMode.MERGE: return self._merge_circuits(data_circuit, algorithm_circuit, connection_map, **kwargs) elif mode == IntegrationMode.SEQUENTIAL: return self._sequential_circuits(data_circuit, algorithm_circuit, **kwargs) - elif mode == IntegrationMode.INTERLEAVED: - return self._interleaved_circuits(data_circuit, algorithm_circuit, **kwargs) elif mode == IntegrationMode.ENTANGLE: return self._entangle_circuits(data_circuit, algorithm_circuit, connection_map, **kwargs) elif mode == IntegrationMode.CUSTOM: @@ -92,22 +87,16 @@ def _merge_circuits(self, Returns: A merged quantum circuit """ - # Create a new circuit with combined qubits combined = QuantumCircuit(data_circuit.num_qubits + algorithm_circuit.num_qubits) - # Add data circuit to first qubits combined = combined.compose(data_circuit, qubits=range(data_circuit.num_qubits)) - # Add algorithm circuit to remaining qubits algo_qubits = range(data_circuit.num_qubits, data_circuit.num_qubits + algorithm_circuit.num_qubits) combined = combined.compose(algorithm_circuit, qubits=algo_qubits) - # Add connections between circuits if specified for data_qubit, algo_qubit in connection_map.items(): - # Adjust algorithm qubit index adjusted_algo_qubit = data_circuit.num_qubits + algo_qubit - # Add CNOT as the basic connection combined.cx(data_qubit, adjusted_algo_qubit) return combined @@ -126,74 +115,18 @@ def _sequential_circuits(self, Returns: A sequential quantum circuit """ - # Check if circuits have same number of qubits if data_circuit.num_qubits != algorithm_circuit.num_qubits: raise ValueError( f"Circuits must have same number of qubits for sequential integration: " f"{data_circuit.num_qubits} vs {algorithm_circuit.num_qubits}" ) - # Create a copy of the data circuit combined = data_circuit.copy() - # Append the algorithm circuit combined.compose(algorithm_circuit, inplace=True) return combined - def _interleaved_circuits(self, - data_circuit: QuantumCircuit, - algorithm_circuit: QuantumCircuit, - **kwargs) -> QuantumCircuit: - """ - Create a circuit with algorithm operations interleaved during data preparation. - - This is a simplified implementation. For more complex interleaving, - use QPIXLAlgorithmEncoder instead. - - Args: - data_circuit: QPIXL data circuit - algorithm_circuit: Algorithm circuit - - Returns: - An interleaved quantum circuit - """ - # This is a simplified approach - for real interleaving during QPIXL encoding, - # it's better to use QPIXLAlgorithmEncoder - - # Get operations from both circuits - data_ops = data_circuit.data - algo_ops = algorithm_circuit.data - - # Create a new circuit with the same size as data circuit - combined = QuantumCircuit(data_circuit.num_qubits) - - # Interleave operations with a basic strategy - data_idx = 0 - algo_idx = 0 - - # Simple alternating strategy - while data_idx < len(data_ops) or algo_idx < len(algo_ops): - # Add a data operation if available - if data_idx < len(data_ops): - instr = data_ops[data_idx] - combined.append(instr.operation, instr.qubits) - data_idx += 1 - - # Add an algorithm operation if available - if algo_idx < len(algo_ops): - # Map algorithm qubit indices to data circuit qubits - # This is a simple mapping - may need customization - instr = algo_ops[algo_idx] - - # Skip if algorithm operation uses more qubits than available - if all(q.index < combined.num_qubits for q in instr.qubits): - combined.append(instr.operation, instr.qubits) - - algo_idx += 1 - - return combined - def _entangle_circuits(self, data_circuit: QuantumCircuit, algorithm_circuit: QuantumCircuit, @@ -210,20 +143,15 @@ def _entangle_circuits(self, Returns: An entangled quantum circuit """ - # First merge the circuits combined = self._merge_circuits(data_circuit, algorithm_circuit, {}, **kwargs) - # If no connections specified, entangle first qubit if not connection_map: if data_circuit.num_qubits > 0 and algorithm_circuit.num_qubits > 0: - connection_map = {0: 0} # Connect first qubit to first algorithm qubit + connection_map = {0: 0} - # Add entanglement operations for data_qubit, algo_qubit in connection_map.items(): - # Adjust algorithm qubit index adjusted_algo_qubit = data_circuit.num_qubits + algo_qubit - # Get entanglement type from kwargs or use default entangle_type = kwargs.get('entangle_type', 'cx') if entangle_type == 'cx': @@ -269,7 +197,6 @@ def create_circuit(self, Returns: A QPIXL circuit with integrated algorithm operations """ - # Process the data for QPIXL encoding a = hlp.convertToAngles(data) a = hlp.preprocess_image(a) n = len(a) @@ -278,39 +205,31 @@ def create_circuit(self, a = hlp.sfwht(a) a = hlp.grayPermutation(a) - # Apply compression if requested if compression > 0: a_sort_ind = np.argsort(np.abs(a)) cutoff = int((compression / 100.0) * n) for it in a_sort_ind[:cutoff]: a[it] = 0 - # Create quantum registers storage_qubits = QuantumRegister(k, "storage") encoding_qubit = QuantumRegister(1, "encoding") algo_qubits = QuantumRegister(algorithm_qubits, "algorithm") - # Create quantum circuit circuit = QuantumCircuit(storage_qubits, encoding_qubit, algo_qubits) - # Apply Hadamard gates to storage qubits circuit.h(storage_qubits) - # Perform encoding with algorithm operations ctrl, pc, i = 0, 0, 0 while i < (2**k): - pc = int(0) # Reset parity check + pc = int(0) - # Apply algorithm operations and encoding when angle is non-zero if a[i] != 0: - # Apply algorithm operations if specified if algorithm_ops: for op in algorithm_ops: gate_type = op.get('gate') params = op.get('params', {}) if gate_type == 'unitary': - # Apply unitary gate (like in cFRQI_with_alg_demo) angle = a[i] unitary_matrix = np.array([ [np.cos(angle), -1j * np.sin(angle)], @@ -319,54 +238,45 @@ def create_circuit(self, circuit.unitary(unitary_matrix, algo_qubits[0], label=f"alg_{i}") elif gate_type == 'cry': - # Apply controlled rotation Y gate circuit.cry(a[i], algo_qubits[0], encoding_qubit[0]) elif gate_type == 'crx': - # Apply controlled rotation X gate circuit.crx(a[i], algo_qubits[0], encoding_qubit[0]) elif gate_type == 'custom': - # Call custom function with circuit, angle, and index custom_func = params.get('func') if custom_func: custom_func(circuit, a[i], i) # Add more gate types as needed - # Apply the standard encoding rotation if not overridden if not any(op.get('gate') == 'cry' for op in algorithm_ops or []): circuit.ry(a[i], encoding_qubit) - # Calculate control qubit if i == ((2**k) - 1): ctrl = 0 else: ctrl = hlp.grayCode(i) ^ hlp.grayCode(i + 1) ctrl = k - hlp.countr_zero(ctrl, n_bits=k + 1) - 1 - pc ^= 2**ctrl # Update parity check + pc ^= 2**ctrl i += 1 - # Skip zero angles while i < (2**k) and a[i] == 0: if i == ((2**k) - 1): ctrl = 0 else: ctrl = hlp.grayCode(i) ^ hlp.grayCode(i + 1) ctrl = k - hlp.countr_zero(ctrl, n_bits=k + 1) - 1 - pc ^= 2**ctrl # Update parity check + pc ^= 2**ctrl i += 1 - # Apply CNOT gates based on parity check for j in range(k): if (pc >> j) & 1: circuit.cx(storage_qubits[j], encoding_qubit[0]) - # Reverse bits circuit.reverse_bits() - # Apply post-processing if specified if post_processing: post_processing(circuit) @@ -384,49 +294,24 @@ def create_pattern_function(gate_name: str, **params) -> Tuple[Callable, any]: Returns: A tuple of (pattern_function, angle) """ + # Define gate operations dictionary + gate_ops = { + 'rx': lambda c: c.rx(params.get('angle', 0), params.get('target', 0)), + 'ry': lambda c: c.ry(params.get('angle', 0), params.get('target', 0)), + 'rz': lambda c: c.rz(params.get('angle', 0), params.get('target', 0)), + 'crx': lambda c: c.crx(params.get('angle', 0), params.get('control', 1), params.get('target', 0)), + 'cry': lambda c: c.cry(params.get('angle', 0), params.get('control', 1), params.get('target', 0)), + 'crz': lambda c: c.crz(params.get('angle', 0), params.get('control', 1), params.get('target', 0)), + 'cx': lambda c: c.cx(params.get('control', 1), params.get('target', 0)), + 'cnot': lambda c: c.cx(params.get('control', 1), params.get('target', 0)), + 'h': lambda c: c.h(params.get('target', 0)) + } + def pattern_func(circ): """Pattern function to apply the specified gate to the circuit.""" gate_name_lower = gate_name.lower() - - if gate_name_lower == 'rx': - circ.rx(params.get('angle', 0), params.get('target', 0)) - - elif gate_name_lower == 'ry': - circ.ry(params.get('angle', 0), params.get('target', 0)) - - elif gate_name_lower == 'rz': - circ.rz(params.get('angle', 0), params.get('target', 0)) - - elif gate_name_lower == 'crx': - circ.crx( - params.get('angle', 0), - params.get('control', 1), - params.get('target', 0) - ) - - elif gate_name_lower == 'cry': - circ.cry( - params.get('angle', 0), - params.get('control', 1), - params.get('target', 0) - ) - - elif gate_name_lower == 'crz': - circ.crz( - params.get('angle', 0), - params.get('control', 1), - params.get('target', 0) - ) - - elif gate_name_lower == 'cx' or gate_name_lower == 'cnot': - circ.cx( - params.get('control', 1), - params.get('target', 0) - ) - - elif gate_name_lower == 'h': - circ.h(params.get('target', 0)) - + if gate_name_lower in gate_ops: + gate_ops[gate_name_lower](circ) else: raise ValueError(f"Unsupported gate: {gate_name}") @@ -447,6 +332,16 @@ def create_post_processing(operations: List[Dict]) -> Callable: Returns: A post-processing function """ + gate_ops = { + 'h': lambda c, q, p: c.h(q), + 'x': lambda c, q, p: c.x(q), + 'y': lambda c, q, p: c.y(q), + 'z': lambda c, q, p: c.z(q), + 'rx': lambda c, q, p: c.rx(p.get('angle', 0), q), + 'ry': lambda c, q, p: c.ry(p.get('angle', 0), q), + 'rz': lambda c, q, p: c.rz(p.get('angle', 0), q), + } + def post_process(circuit): """Apply the specified operations to the circuit.""" for op in operations: @@ -455,51 +350,29 @@ def post_process(circuit): params = op.get('params', {}) for q in qubits: - if gate == 'h': - circuit.h(q) - elif gate == 'x': - circuit.x(q) - elif gate == 'y': - circuit.y(q) - elif gate == 'z': - circuit.z(q) - elif gate == 'rx': - circuit.rx(params.get('angle', 0), q) - elif gate == 'ry': - circuit.ry(params.get('angle', 0), q) - elif gate == 'rz': - circuit.rz(params.get('angle', 0), q) - # Add more gate types as needed + if gate in gate_ops: + gate_ops[gate](circuit, q, params) return post_process - -# Example usage functions -def example_algorithm_operations(): - """Create example algorithm operations for QPIXLAlgorithmEncoder.""" - return [ - { - 'gate': 'unitary', - 'params': {}, # Angle will be taken from the data - }, - { - 'gate': 'cry', - 'params': {}, # Angle will be taken from the data - } - ] - - -def example_custom_alg_function(circuit, angle, index): - """Example custom algorithm function for QPIXLAlgorithmEncoder.""" - # Get the algorithm qubit(s) - algo_qubits = circuit.qregs[2] # Assuming algorithm qubits are in the third register - encoding_qubit = circuit.qregs[1] # Assuming encoding qubit is in the second register - - # Apply some gates based on the angle and index - circuit.ry(angle / 2, algo_qubits[0]) - circuit.cx(algo_qubits[0], encoding_qubit[0]) - - -if __name__ == "__main__": - print("QPIXL Circuit Integrator module loaded successfully.") - print("Use CircuitIntegrator and QPIXLAlgorithmEncoder classes to integrate quantum circuits.") \ No newline at end of file +# ------------------------------------------------------------ +# USAGE EXAMPLES +# ------------------------------------------------------------ +# To create circuit integrations: +# +# integrator = CircuitIntegrator() +# combined = integrator.integrate( +# data_circuit, +# algorithm_circuit, +# mode=IntegrationMode.MERGE, +# connection_map={0: 0, 1: 1} +# ) +# +# To create QPIXL circuits with algorithm operations: +# +# encoder = QPIXLAlgorithmEncoder() +# circuit = encoder.create_circuit( +# data, +# compression=0, +# algorithm_ops=[{'gate': 'unitary', 'params': {}}] +# ) \ No newline at end of file From a666e7b97328bb648ed06f37ca7245269466ee44 Mon Sep 17 00:00:00 2001 From: Abdullah Al Omar Galib <109025616+ahkatlio@users.noreply.github.com> Date: Mon, 2 Jun 2025 23:54:36 +0600 Subject: [PATCH 05/26] Update QPIXL_demo.ipynb --- QPIXL_demo.ipynb | 28 ++++++++++++++-------------- 1 file changed, 14 insertions(+), 14 deletions(-) diff --git a/QPIXL_demo.ipynb b/QPIXL_demo.ipynb index 037ff1a..abf06cd 100644 --- a/QPIXL_demo.ipynb +++ b/QPIXL_demo.ipynb @@ -391,7 +391,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -456,13 +456,13 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "5ceba2036e8d4198a0e8dddc8a1477d4", + "model_id": "246d932aed5e4c42b9b3d39e31e3a701", "version_major": 2, "version_minor": 0 }, @@ -479,7 +479,7 @@ "" ] }, - "execution_count": 5, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -529,7 +529,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": { "jupyter": { "source_hidden": true @@ -607,7 +607,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "90cb9a56004a4c4d869412eaa804c420", + "model_id": "2e70ac57fb594bd688e4440111791121", "version_major": 2, "version_minor": 0 }, @@ -624,7 +624,7 @@ "" ] }, - "execution_count": 7, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -658,7 +658,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "d691088c8be54af4bd7a0bc4ef9c4121", + "model_id": "276ad4f0e21d4fb18359ffef09f13dd2", "version_major": 2, "version_minor": 0 }, @@ -706,7 +706,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "dddf6506bf85406ab829bd3a42c2222c", + "model_id": "e53d574451b94d67857c1155674a6a35", "version_major": 2, "version_minor": 0 }, @@ -813,7 +813,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": { "jupyter": { "source_hidden": true @@ -824,10 +824,10 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 12, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, @@ -895,7 +895,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -1512,7 +1512,7 @@ "« └───┘ " ] }, - "execution_count": 6, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } From 5940caccbb9e79f0022462a2485996726bceead2 Mon Sep 17 00:00:00 2001 From: Abdullah Al Omar Galib <109025616+ahkatlio@users.noreply.github.com> Date: Tue, 3 Jun 2025 23:30:07 +0600 Subject: [PATCH 06/26] Update qpixl_integrator.py --- QPIXL/qpixl_integrator.py | 4 ---- 1 file changed, 4 deletions(-) diff --git a/QPIXL/qpixl_integrator.py b/QPIXL/qpixl_integrator.py index 7547d26..fb22df0 100644 --- a/QPIXL/qpixl_integrator.py +++ b/QPIXL/qpixl_integrator.py @@ -48,7 +48,6 @@ def integrate(self, Returns: A quantum circuit combining the data and algorithm circuits """ - # Convert string mode to enum if needed if isinstance(mode, str): try: mode = IntegrationMode(mode.lower()) @@ -248,8 +247,6 @@ def create_circuit(self, if custom_func: custom_func(circuit, a[i], i) - # Add more gate types as needed - if not any(op.get('gate') == 'cry' for op in algorithm_ops or []): circuit.ry(a[i], encoding_qubit) @@ -294,7 +291,6 @@ def create_pattern_function(gate_name: str, **params) -> Tuple[Callable, any]: Returns: A tuple of (pattern_function, angle) """ - # Define gate operations dictionary gate_ops = { 'rx': lambda c: c.rx(params.get('angle', 0), params.get('target', 0)), 'ry': lambda c: c.ry(params.get('angle', 0), params.get('target', 0)), From 6511156eacff8a7086dcdeb9cd07cf5bea828ed5 Mon Sep 17 00:00:00 2001 From: Abdullah Al Omar Galib <109025616+ahkatlio@users.noreply.github.com> Date: Thu, 12 Jun 2025 18:38:23 +0600 Subject: [PATCH 07/26] Create audio_processor.py --- QPIXL/audio_processor.py | 163 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 163 insertions(+) create mode 100644 QPIXL/audio_processor.py diff --git a/QPIXL/audio_processor.py b/QPIXL/audio_processor.py new file mode 100644 index 0000000..9bf1c9d --- /dev/null +++ b/QPIXL/audio_processor.py @@ -0,0 +1,163 @@ +""" +Enhanced Audio Processing with QPIXL Circuit Integration + +This module provides functions for processing audio data using quantum circuits +with sliced algorithm integration. +""" + +import os +import numpy as np +import soundfile +from itertools import chain +from typing import Optional, Callable, Dict, Union, List + +import qiskit +from qiskit import QuantumCircuit +from qiskit_aer import Aer + +import QPIXL.helper as hlp +from QPIXL.qiskit.qpixl import cFRQI +from QPIXL.qiskit.qpixl_angs import cFRQIangs, decodeAngQPIXL +from QPIXL.qpixl_integrator import CircuitIntegrator, IntegrationMode, QPIXLAlgorithmEncoder + + +def process_audio_with_slices( + input_file: str, + output_dir: str, + algorithm_circuit: QuantumCircuit, + slice_size: int = 3, + insertion_rule: str = 'interval', + interval: int = 8, + connection_rule: str = 'cx', + connection_map: Optional[Dict[int, int]] = None, + compression: int = 0, + tag: str = "", +) -> None: + """ + Process audio with sliced quantum algorithm integration. + + Args: + input_file: Path to the input audio file + output_dir: Directory to save processed audio + algorithm_circuit: Algorithm circuit to slice and interleave + slice_size: Number of gates per slice + insertion_rule: Rule for where to insert slices ('interval', 'angles', 'custom') + interval: Insert a slice every N loop iterations (if insertion_rule='interval') + connection_rule: How to connect circuits ('cx', 'cz', 'swap') + connection_map: Dictionary mapping data qubits to algorithm qubits + compression: Compression level (0-100) + tag: Tag to append to output files + """ + os.makedirs(output_dir, exist_ok=True) + file_name, _ = os.path.splitext(os.path.basename(input_file)) + metadata_file_path = os.path.join( + output_dir, f"{file_name}_metadata_{tag}_c{compression}.txt" + ) + + if not os.path.exists(metadata_file_path): + data, samplerate = soundfile.read(input_file) + chunk_size = 512 + sections = [ + hlp.pad_0(data[i : i + chunk_size]) for i in range(0, len(data), chunk_size) + ][:-1] + + decoded = [] + encoder = QPIXLAlgorithmEncoder() + + for index, section in enumerate(sections): + print( + f"Processing {file_name} chunk: {index + 1}/{len(sections)}", end="\r" + ) + + normalized_section = section - np.min(section) + + qc = encoder.create_sliced_circuit( + normalized_section, + algorithm_circuit, + compression=compression, + slice_size=slice_size, + insertion_rule=insertion_rule, + interval=interval, + connection_rule=connection_rule, + connection_map=connection_map, + algorithm_qubits=algorithm_circuit.num_qubits + ) + + backend = Aer.get_backend('statevector_simulator') + job = backend.run(qc) + state_vector = np.real(job.result().get_statevector()) + + decoded.append( + decodeAngQPIXL( + state=state_vector, + qc=qc, + trace=algorithm_circuit.num_qubits, # Trace out algorithm qubits + max_pixel_val=section.max(), + min_pixel_val=section.min(), + ) + ) + + decoded_full = np.array(list(chain.from_iterable(decoded))) + soundfile.write( + os.path.join(output_dir, f"{file_name}_output_{tag}_c{compression}.wav"), + decoded_full, + samplerate, + ) + + with open(metadata_file_path, 'w') as f: + f.write(f"Original file: {input_file}\n") + f.write(f"Compression: {compression}%\n") + f.write(f"Slice size: {slice_size}\n") + f.write(f"Insertion rule: {insertion_rule}\n") + f.write(f"Connection rule: {connection_rule}\n") + + +def create_algorithm_circuit(circuit_type: str, num_qubits: int = 3, **params) -> QuantumCircuit: + """ + Create a simple algorithm circuit for demonstration. + + Args: + circuit_type: Type of circuit ('hadamard', 'qaoa', 'qft', 'custom') + num_qubits: Number of qubits + **params: Additional parameters + + Returns: + A quantum circuit + """ + circuit = QuantumCircuit(num_qubits) + + if circuit_type == 'hadamard': + for i in range(num_qubits): + circuit.h(i) + + elif circuit_type == 'qaoa': + angle = params.get('angle', np.pi/4) + for i in range(num_qubits): + circuit.h(i) + for i in range(num_qubits-1): + circuit.cx(i, i+1) + circuit.rz(angle, i+1) + circuit.cx(i, i+1) + for i in range(num_qubits): + circuit.rx(angle, i) + + elif circuit_type == 'qft': + for i in range(num_qubits): + circuit.h(i) + for j in range(i+1, num_qubits): + circuit.cp(np.pi/float(2**(j-i)), i, j) + + elif circuit_type == 'custom': + gates = params.get('gates', []) + for gate in gates: + name = gate.get('name', '') + qubits = gate.get('qubits', [0]) + params = gate.get('params', {}) + + if hasattr(circuit, name): + if params: + getattr(circuit, name)(params.get('angle', 0), *qubits) + else: + getattr(circuit, name)(*qubits) + + return circuit \ No newline at end of file From b674ecfe2555a33131d1844793aaa32c09c1efc5 Mon Sep 17 00:00:00 2001 From: Abdullah Al Omar Galib <109025616+ahkatlio@users.noreply.github.com> Date: Thu, 12 Jun 2025 18:38:26 +0600 Subject: [PATCH 08/26] Update qpixl_integrator.py --- QPIXL/qpixl_integrator.py | 313 +++++++++++++++++++++++++++++++++++++- 1 file changed, 311 insertions(+), 2 deletions(-) diff --git a/QPIXL/qpixl_integrator.py b/QPIXL/qpixl_integrator.py index fb22df0..83237c0 100644 --- a/QPIXL/qpixl_integrator.py +++ b/QPIXL/qpixl_integrator.py @@ -7,7 +7,7 @@ import numpy as np from enum import Enum from typing import Callable, Dict, List, Optional, Union, Tuple, Any -from qiskit import QuantumCircuit, QuantumRegister +from qiskit import QuantumCircuit, QuantumRegister, transpile import QPIXL.helper as hlp @@ -17,6 +17,7 @@ class IntegrationMode(Enum): SEQUENTIAL = "sequential" # Apply circuits one after another ENTANGLE = "entangle" # Connect circuits with entangling operations CUSTOM = "custom" # User-defined custom integration rule + SLICED = "sliced" # Slice and interleave circuits class CircuitIntegrator: @@ -40,7 +41,7 @@ def integrate(self, Args: data_circuit: The QPIXL-encoded data circuit algorithm_circuit: An arbitrary quantum circuit - mode: Integration mode (merge, sequential, entangle, custom) + mode: Integration mode (merge, sequential, entangle, custom, sliced) connection_map: Dictionary mapping data qubits to algorithm qubits custom_rule: Custom function to apply for integration **kwargs: Additional arguments for specific integration modes @@ -63,6 +64,8 @@ def integrate(self, return self._sequential_circuits(data_circuit, algorithm_circuit, **kwargs) elif mode == IntegrationMode.ENTANGLE: return self._entangle_circuits(data_circuit, algorithm_circuit, connection_map, **kwargs) + elif mode == IntegrationMode.SLICED: + return self._sliced_circuits(data_circuit, algorithm_circuit, connection_map, **kwargs) elif mode == IntegrationMode.CUSTOM: if custom_rule is None: raise ValueError("For CUSTOM mode, a custom_rule function must be provided") @@ -164,6 +167,154 @@ def _entangle_circuits(self, return combined + def _slice_circuit(self, + circuit: QuantumCircuit, + slice_size: int) -> List[QuantumCircuit]: + """ + Slice a quantum circuit into segments of a specified size. + + Args: + circuit: The circuit to slice + slice_size: Number of gates per slice + + Returns: + List of circuit slices + """ + circuit_ops = circuit.data + + slices = [] + for i in range(0, len(circuit_ops), slice_size): + end_idx = min(i + slice_size, len(circuit_ops)) + slice_circuit = QuantumCircuit(circuit.num_qubits) + + for op in circuit_ops[i:end_idx]: + instruction = op[0] + qargs = op[1] + cargs = op[2] if len(op) > 2 else [] + + # Map qubits to their indices + qbit_indices = [circuit.qubits.index(q) for q in qargs] + + # Append the instruction to the new circuit + slice_circuit.append(instruction, qbit_indices, cargs) + + slices.append(slice_circuit) + + return slices + + def _sliced_circuits(self, + data_circuit: QuantumCircuit, + algorithm_circuit: QuantumCircuit, + connection_map: Dict[int, int], + **kwargs) -> QuantumCircuit: + """ + Slice algorithm circuit and interleave slices with data circuit. + + Args: + data_circuit: QPIXL data circuit + algorithm_circuit: Algorithm circuit to be sliced + connection_map: Dictionary mapping data qubits to algorithm qubits + slice_size: Number of gates per slice (default: 3) + insertion_rule: Rule for where to insert slices ('interval', 'angles', etc.) + interval: Insert a slice every N operations (if insertion_rule='interval') + connection_rule: Rule to apply at each insertion point (default: 'cx') + + Returns: + An integrated circuit with interleaved slices + """ + slice_size = kwargs.get('slice_size', 3) + connection_rule = kwargs.get('connection_rule', 'cx') + insertion_rule = kwargs.get('insertion_rule', 'interval') + interval = kwargs.get('interval', 8) + + slices = self._slice_circuit(algorithm_circuit, slice_size) + + # Create a new circuit with all qubits from both circuits + total_qubits = data_circuit.num_qubits + algorithm_circuit.num_qubits + combined = QuantumCircuit(total_qubits) + + # Determine where to insert algorithm slices + if insertion_rule == 'interval': + # Create insertion points at regular intervals + num_ops = len(data_circuit.data) + insertion_points = list(range(0, num_ops, interval)) + if not insertion_points: + insertion_points = [0] + else: + # Default: evenly distribute slices throughout the circuit + num_ops = len(data_circuit.data) + if len(slices) > 1: + step = max(1, num_ops // len(slices)) + insertion_points = list(range(0, num_ops, step)) + if len(insertion_points) > len(slices): + insertion_points = insertion_points[:len(slices)] + else: + insertion_points = [num_ops // 2] # Insert in the middle + + # Split the data circuit at insertion points + segments = [] + last_point = 0 + for point in insertion_points + [len(data_circuit.data)]: + if point > last_point: + segment = QuantumCircuit(data_circuit.num_qubits) + for i in range(last_point, point): + if i < len(data_circuit.data): + inst, qargs, cargs = data_circuit.data[i] + segment.append(inst, qargs, cargs) + segments.append(segment) + last_point = point + + # Build the combined circuit by alternating segments and slices + data_qubits = list(range(data_circuit.num_qubits)) + algo_qubits = list(range(data_circuit.num_qubits, total_qubits)) + + current_slice = 0 + for i, segment in enumerate(segments[:-1]): # Skip the last segment for now + # Add the data circuit segment + combined.compose(segment, data_qubits, inplace=True) + + # Add the algorithm slice if available + if current_slice < len(slices): + slice_circ = slices[current_slice] + combined.compose(slice_circ, algo_qubits[:slice_circ.num_qubits], inplace=True) + + # Add connections between data and algorithm qubits + for data_qubit, algo_qubit in connection_map.items(): + adjusted_algo_qubit = data_circuit.num_qubits + algo_qubit + + if connection_rule == 'cx': + combined.cx(data_qubit, adjusted_algo_qubit) + elif connection_rule == 'cz': + combined.cz(data_qubit, adjusted_algo_qubit) + elif connection_rule == 'swap': + combined.swap(data_qubit, adjusted_algo_qubit) + + current_slice += 1 + + # Add the final segment of the data circuit + if segments: + combined.compose(segments[-1], data_qubits, inplace=True) + + # Add any remaining algorithm slices at the end + while current_slice < len(slices): + slice_circ = slices[current_slice] + combined.compose(slice_circ, algo_qubits[:slice_circ.num_qubits], inplace=True) + + # Add connections between data and algorithm qubits + for data_qubit, algo_qubit in connection_map.items(): + adjusted_algo_qubit = data_circuit.num_qubits + algo_qubit + + if connection_rule == 'cx': + combined.cx(data_qubit, adjusted_algo_qubit) + elif connection_rule == 'cz': + combined.cz(data_qubit, adjusted_algo_qubit) + elif connection_rule == 'swap': + combined.swap(data_qubit, adjusted_algo_qubit) + + current_slice += 1 + + return combined + class QPIXLAlgorithmEncoder: """ @@ -279,6 +430,152 @@ def create_circuit(self, return circuit + def create_sliced_circuit(self, + data: np.ndarray, + algorithm_circuit: QuantumCircuit, + compression: float = 0, + slice_size: int = 3, + insertion_rule: str = 'interval', + interval: int = 8, + connection_rule: str = 'cx', + connection_map: Optional[Dict[int, int]] = None, + algorithm_qubits: int = 1) -> QuantumCircuit: + """ + Create a QPIXL circuit with slices of an algorithm circuit integrated at specific points. + + Args: + data: Input data array to encode + algorithm_circuit: Circuit to slice and integrate + compression: Compression ratio (0-100) + slice_size: Number of gates per slice + insertion_rule: Rule for where to insert slices ('interval', 'angles', 'custom') + interval: Insert a slice every N loop iterations (if insertion_rule='interval') + connection_rule: How to connect circuits ('cx', 'cz', 'swap') + connection_map: Dictionary mapping data qubits to algorithm qubits + algorithm_qubits: Number of qubits for algorithm + + Returns: + A QPIXL circuit with integrated algorithm slices + """ + a = hlp.convertToAngles(data) + a = hlp.preprocess_image(a) + n = len(a) + k = hlp.ilog2(n) + a = 2 * a + a = hlp.sfwht(a) + a = hlp.grayPermutation(a) + + if compression > 0: + a_sort_ind = np.argsort(np.abs(a)) + cutoff = int((compression / 100.0) * n) + for it in a_sort_ind[:cutoff]: + a[it] = 0 + + integrator = CircuitIntegrator() + slices = integrator._slice_circuit(algorithm_circuit, slice_size) + current_slice = 0 + + if connection_map is None: + connection_map = {0: 0} + + storage_qubits = QuantumRegister(k, "storage") + encoding_qubit = QuantumRegister(1, "encoding") + algo_qubits = QuantumRegister(algorithm_qubits, "algorithm") + + circuit = QuantumCircuit(storage_qubits, encoding_qubit, algo_qubits) + + circuit.h(storage_qubits) + + insert_counter = 0 + insertion_points = [] + + if insertion_rule == 'custom': + insertion_points = insertion_points or [] + elif insertion_rule == 'angles': + insertion_points = [i for i, angle in enumerate(a) if angle != 0] + + ctrl, pc, i = 0, 0, 0 + while i < (2**k): + pc = int(0) + + insert_slice = False + if insertion_rule == 'interval' and insert_counter % interval == 0: + insert_slice = True + elif insertion_rule == 'angles' and i in insertion_points: + insert_slice = True + elif insertion_rule == 'custom' and i in insertion_points: + insert_slice = True + + if insert_slice and current_slice < len(slices): + slice_circ = slices[current_slice] + for j in range(min(slice_circ.num_qubits, len(algo_qubits))): + for inst, qargs, cargs in slice_circ.data: + # Fix the mapping of qubits - use slice_circuit.qubits.index(q) instead of q.index + qbit_indices = [slice_circ.qubits.index(q) for q in qargs] + mapped_qargs = [algo_qubits[idx] if idx < len(algo_qubits) else qarg + for idx, qarg in zip(qbit_indices, qargs)] + circuit.append(inst, mapped_qargs, cargs) + + for data_qubit, algo_qubit in connection_map.items(): + if connection_rule == 'cx': + circuit.cx(storage_qubits[data_qubit], algo_qubits[algo_qubit]) + elif connection_rule == 'cz': + circuit.cz(storage_qubits[data_qubit], algo_qubits[algo_qubit]) + elif connection_rule == 'swap': + circuit.swap(storage_qubits[data_qubit], algo_qubits[algo_qubit]) + + current_slice += 1 + + if a[i] != 0: + circuit.ry(a[i], encoding_qubit) + + if i == ((2**k) - 1): + ctrl = 0 + else: + ctrl = hlp.grayCode(i) ^ hlp.grayCode(i + 1) + ctrl = k - hlp.countr_zero(ctrl, n_bits=k + 1) - 1 + + pc ^= 2**ctrl + i += 1 + + while i < (2**k) and a[i] == 0: + if i == ((2**k) - 1): + ctrl = 0 + else: + ctrl = hlp.grayCode(i) ^ hlp.grayCode(i + 1) + ctrl = k - hlp.countr_zero(ctrl, n_bits=k + 1) - 1 + pc ^= 2**ctrl + i += 1 + + for j in range(k): + if (pc >> j) & 1: + circuit.cx(storage_qubits[j], encoding_qubit[0]) + + insert_counter += 1 + + while current_slice < len(slices): + slice_circ = slices[current_slice] + for j in range(min(slice_circ.num_qubits, len(algo_qubits))): + for inst, qargs, cargs in slice_circ.data: + # Same fix as above + qbit_indices = [slice_circ.qubits.index(q) for q in qargs] + mapped_qargs = [algo_qubits[idx] if idx < len(algo_qubits) else qarg + for idx, qarg in zip(qbit_indices, qargs)] + circuit.append(inst, mapped_qargs, cargs) + + for data_qubit, algo_qubit in connection_map.items(): + if connection_rule == 'cx': + circuit.cx(storage_qubits[data_qubit], algo_qubits[algo_qubit]) + elif connection_rule == 'cz': + circuit.cz(storage_qubits[data_qubit], algo_qubits[algo_qubit]) + elif connection_rule == 'swap': + circuit.swap(storage_qubits[data_qubit], algo_qubits[algo_qubit]) + + current_slice += 1 + + circuit.reverse_bits() + return circuit + def create_pattern_function(gate_name: str, **params) -> Tuple[Callable, any]: """ @@ -371,4 +668,16 @@ def post_process(circuit): # data, # compression=0, # algorithm_ops=[{'gate': 'unitary', 'params': {}}] +# ) +# +# To create QPIXL circuits with sliced algorithm integration: +# +# encoder = QPIXLAlgorithmEncoder() +# circuit = encoder.create_sliced_circuit( +# data, +# algorithm_circuit, +# compression=0, +# slice_size=3, +# insertion_rule='interval', +# interval=8 # ) \ No newline at end of file From bf96a7781c11912ba3ae5366b83c2a5c50dbaa93 Mon Sep 17 00:00:00 2001 From: Abdullah Al Omar Galib <109025616+ahkatlio@users.noreply.github.com> Date: Thu, 12 Jun 2025 18:38:28 +0600 Subject: [PATCH 09/26] Update QPIXL_demo.ipynb --- QPIXL_demo.ipynb | 445 +++++++++++++++++++++++++++++++++++++++++++++-- 1 file changed, 434 insertions(+), 11 deletions(-) diff --git a/QPIXL_demo.ipynb b/QPIXL_demo.ipynb index abf06cd..121cb29 100644 --- a/QPIXL_demo.ipynb +++ b/QPIXL_demo.ipynb @@ -11,7 +11,8 @@ "import QPIXL.helper as hlp\n", "from QPIXL.qiskit.qpixl import cFRQI\n", "from QPIXL.qiskit.qpixl_angs import cFRQIangs, decodeAngQPIXL\n", - "from QPIXL.qpixl_integrator import CircuitIntegrator, IntegrationMode, QPIXLAlgorithmEncoder\n", + "from QPIXL.qpixl_integrator import CircuitIntegrator, IntegrationMode, QPIXLAlgorithmEncoder, create_pattern_function, create_post_processing\n", + "from QPIXL.audio_processor import process_audio_with_slices, create_algorithm_circuit\n", "import qiskit\n", "from qiskit import QuantumCircuit\n", "from qiskit_aer import StatevectorSimulator\n", @@ -462,7 +463,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "246d932aed5e4c42b9b3d39e31e3a701", + "model_id": "c4635f684b734c18a29454407e041b18", "version_major": 2, "version_minor": 0 }, @@ -607,7 +608,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "2e70ac57fb594bd688e4440111791121", + "model_id": "d5dc5f54414b489fb3bd568e83da0a4e", "version_major": 2, "version_minor": 0 }, @@ -658,7 +659,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "276ad4f0e21d4fb18359ffef09f13dd2", + "model_id": "fa27eda64c3642ee9cc9d2aa965a4bd1", "version_major": 2, "version_minor": 0 }, @@ -706,7 +707,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "e53d574451b94d67857c1155674a6a35", + "model_id": "b03ffeb65f1f423aa0893b704c94f212", "version_major": 2, "version_minor": 0 }, @@ -723,7 +724,7 @@ "" ] }, - "execution_count": 10, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -813,7 +814,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": { "jupyter": { "source_hidden": true @@ -824,10 +825,10 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 11, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, @@ -895,7 +896,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -1512,7 +1513,7 @@ "« └───┘ " ] }, - "execution_count": 12, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -1573,6 +1574,279 @@ "demo_circuit.draw(fold=150, vertical_compression=\"high\")" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Advanced Circuit Integration Techniques\n", + "\n", + "Building on the basic integration modes, we now demonstrate more sophisticated techniques:\n", + "\n", + "1. **SLICED integration mode**: Allows breaking algorithm circuits into smaller slices and inserting them at strategic points in the data circuit\n", + "2. **Enhanced encoder methods**: Using `create_sliced_circuit` for fine-grained control over algorithm integration\n", + "3. **Helper functions**: Simplified creation of patterns and post-processing operations\n", + "4. **Visual comparison**: Side-by-side comparison of different integration approaches\n", + "\n", + "These advanced techniques enable more complex quantum algorithm integration with QPIXL-encoded images while maintaining manageable circuit depths." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First, let's load a sample image and create an algorithm circuit to integrate with it." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Original algorithm circuit:\n" + ] + }, + { + "data": { + "text/html": [ + "
        ┌───┐                   ┌───┐┌───┐\n",
+       "q_0: ───┤ H ├────────■──────────┤ X ├┤ H ├\n",
+       "        └───┘      ┌─┴─┐        └─┬─┘├───┤\n",
+       "q_1: ──────────────┤ X ├─────■────┼──┤ H ├\n",
+       "     ┌─────────┐┌──┴───┴──┐  │    │  ├───┤\n",
+       "q_2: ┤ Rx(π/4) ├┤ Rz(π/2) ├──┼────■──┤ H ├\n",
+       "     ├─────────┤└─────────┘┌─┴─┐┌───┐└───┘\n",
+       "q_3: ┤ Ry(π/3) ├───────────┤ X ├┤ H ├─────\n",
+       "     └─────────┘           └───┘└───┘     
" + ], + "text/plain": [ + " ┌───┐ ┌───┐┌───┐\n", + "q_0: ───┤ H ├────────■──────────┤ X ├┤ H ├\n", + " └───┘ ┌─┴─┐ └─┬─┘├───┤\n", + "q_1: ──────────────┤ X ├─────■────┼──┤ H ├\n", + " ┌─────────┐┌──┴───┴──┐ │ │ ├───┤\n", + "q_2: ┤ Rx(π/4) ├┤ Rz(π/2) ├──┼────■──┤ H ├\n", + " ├─────────┤└─────────┘┌─┴─┐┌───┐└───┘\n", + "q_3: ┤ Ry(π/3) ├───────────┤ X ├┤ H ├─────\n", + " └─────────┘ └───┘└───┘ " + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Load a sample image from helpers\n", + "image_data = hlp.examples().space\n", + "data_shape = image_data.shape\n", + "\n", + "# Createing an algorithm circuit with various gates\n", + "algorithm_circuit = QuantumCircuit(4)\n", + "algorithm_circuit.h(0)\n", + "algorithm_circuit.cx(0, 1)\n", + "algorithm_circuit.rx(np.pi/4, 2)\n", + "algorithm_circuit.ry(np.pi/3, 3)\n", + "algorithm_circuit.cx(1, 3)\n", + "algorithm_circuit.rz(np.pi/2, 2)\n", + "algorithm_circuit.cx(2, 0)\n", + "algorithm_circuit.h(range(4))\n", + "\n", + "print(\"Original algorithm circuit:\")\n", + "algorithm_circuit.draw()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The SLICED integration mode divides the algorithm circuit into manageable pieces and inserts them at strategic points in the data circuit." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "SLICED circuit depth: 204\n" + ] + } + ], + "source": [ + "# Creating circuit integrator\n", + "integrator = CircuitIntegrator()\n", + "\n", + "# Creating a QPIXL data circuit with 30% compression\n", + "data_circuit = cFRQI(image_data, 30)\n", + "\n", + "sliced_circuit = integrator.integrate(\n", + " data_circuit=data_circuit,\n", + " algorithm_circuit=algorithm_circuit,\n", + " mode=IntegrationMode.SLICED,\n", + " slice_size=2, \n", + " connection_map={0: 0, 1: 1, 2: 2}, \n", + " insertion_rule='interval',\n", + " interval=4 \n", + ")\n", + "\n", + "print(f\"SLICED circuit depth: {sliced_circuit.depth()}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The `QPIXLAlgorithmEncoder` provides a higher-level interface for creating sliced circuits directly from data." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Encoder sliced circuit depth: 222\n" + ] + } + ], + "source": [ + "encoder = QPIXLAlgorithmEncoder()\n", + "\n", + "# Creating a sliced circuit directly from data and algorithm\n", + "encoder_sliced = encoder.create_sliced_circuit(\n", + " data=image_data,\n", + " algorithm_circuit=algorithm_circuit,\n", + " compression=20, \n", + " slice_size=2, \n", + " insertion_rule='interval',\n", + " interval=6, \n", + " connection_rule='cz', \n", + " algorithm_qubits=4 \n", + ")\n", + "\n", + "print(f\"Encoder sliced circuit depth: {encoder_sliced.depth()}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Helper functions simplify the creation of patterns and post-processing operations." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Pattern circuit depth: 261\n" + ] + } + ], + "source": [ + "rx_pattern, rx_angle = create_pattern_function('crx', angle=np.pi/4, control=1, target=0)\n", + "ry_pattern, ry_angle = create_pattern_function('cry', angle=np.pi/6, control=1, target=0)\n", + "\n", + "post_ops = [\n", + " {'gate': 'h', 'qubits': [0, 1]},\n", + " {'gate': 'rx', 'qubits': [2], 'params': {'angle': np.pi/3}}\n", + "]\n", + "post_proc = create_post_processing(post_ops)\n", + "\n", + "pattern_circuit = encoder.create_circuit(\n", + " data=image_data[:32, :32], \n", + " compression=40,\n", + " algorithm_ops=[\n", + " {'gate': 'crx', 'params': {'angle': np.pi/4}},\n", + " {'gate': 'cry', 'params': {'angle': np.pi/6}}\n", + " ],\n", + " post_processing=post_proc,\n", + " algorithm_qubits=3\n", + ")\n", + "\n", + "print(f\"Pattern circuit depth: {pattern_circuit.depth()}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's run the circuits and visualize how each integration method affects the image." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "def run_and_decode(circuit, original_shape):\n", + " job = backend.run(circuit)\n", + " sv = np.real(job.result().get_statevector())\n", + " decoded = hlp.decodeQPIXL(sv)\n", + " return hlp.reconstruct_img(decoded, original_shape).T\n", + "\n", + "orig_img = run_and_decode(cFRQI(image_data, 0), data_shape)\n", + "sliced_img = run_and_decode(sliced_circuit, data_shape)\n", + "encoder_img = run_and_decode(encoder_sliced, data_shape)\n", + "pattern_img = run_and_decode(pattern_circuit, data_shape)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Displaying Visual Comparison" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 4, figsize=(16, 4))\n", + "axes[0].imshow(orig_img)\n", + "axes[0].set_title(\"Original Image\")\n", + "\n", + "axes[1].imshow(sliced_img)\n", + "axes[1].set_title(\"SLICED Integration\")\n", + "\n", + "axes[2].imshow(encoder_img)\n", + "axes[2].set_title(\"Encoder Sliced\")\n", + "\n", + "axes[3].imshow(pattern_img)\n", + "axes[3].set_title(\"Pattern + Post-processing\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -1942,6 +2216,155 @@ " )" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Enhanced Audio Processing with Circuit Slicing\n", + "\n", + "The original `process_audio` function demonstrated a way to integrate patterns during the QPIXL encoding process. Now, we've developed a more flexible approach that allows:\n", + "\n", + "1. Taking an arbitrary quantum circuit and slicing it into smaller segments\n", + "2. Inserting these slices at strategic points in the QPIXL encoding process\n", + "3. Applying connection operations between the data qubits and algorithm qubits\n", + "\n", + "This allows for more sophisticated quantum algorithm integration with QPIXL-encoded audio data." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "QAOA algorithm circuit:\n" + ] + }, + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "QFT algorithm circuit:\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Processing underground.mp3 with sliced QAOA circuit integration...\n", + "Processing underground.mp3 with sliced QFT circuit integration...\n" + ] + } + ], + "source": [ + "\n", + "qaoa_circuit = create_algorithm_circuit('qaoa', num_qubits=2, angle=np.pi/6)\n", + "print(\"QAOA algorithm circuit:\")\n", + "display(qaoa_circuit.draw(output='mpl'))\n", + "\n", + "\n", + "qft_circuit = create_algorithm_circuit('qft', num_qubits=2)\n", + "print(\"QFT algorithm circuit:\")\n", + "display(qft_circuit.draw(output='mpl'))\n", + "\n", + "connection_map = {0: 0, 1: 1} \n", + "\n", + "\n", + "wav_files = [f for f in os.listdir(\"Sample_Material\") if f.endswith(\".mp3\")]\n", + "folder_paths = [\n", + " os.path.join(\"Sample_Material\", os.path.splitext(f)[0]) for f in wav_files\n", + "]\n", + "\n", + "\n", + "if len(wav_files) > 0:\n", + " sample_file = os.path.join(\"Sample_Material\", wav_files[0])\n", + " sample_dir = folder_paths[0]\n", + " \n", + " print(f\"Processing {wav_files[0]} with sliced QAOA circuit integration...\")\n", + " process_audio_with_slices(\n", + " input_file=sample_file,\n", + " output_dir=sample_dir,\n", + " algorithm_circuit=qaoa_circuit,\n", + " slice_size=2,\n", + " insertion_rule='interval',\n", + " interval=6,\n", + " connection_rule='cx',\n", + " connection_map=connection_map,\n", + " compression=30,\n", + " tag=\"sliced_qaoa\"\n", + " )\n", + " \n", + " print(f\"Processing {wav_files[0]} with sliced QFT circuit integration...\")\n", + " process_audio_with_slices(\n", + " input_file=sample_file,\n", + " output_dir=sample_dir,\n", + " algorithm_circuit=qft_circuit,\n", + " slice_size=2,\n", + " insertion_rule='interval',\n", + " interval=8,\n", + " connection_rule='cz', \n", + " connection_map=connection_map,\n", + " compression=30,\n", + " tag=\"sliced_qft\"\n", + " )" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Compare the original audio with the processed versions" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Original audio file: underground.mp3\n", + "Processed with QAOA: underground_output_sliced_qaoa_c30.wav\n", + "Processed with QFT: underground_output_sliced_qft_c30.wav\n" + ] + } + ], + "source": [ + "if len(wav_files) > 0:\n", + " sample_file = os.path.join(\"Sample_Material\", wav_files[0])\n", + " sample_dir = folder_paths[0]\n", + " file_name = os.path.splitext(wav_files[0])[0]\n", + " \n", + " print(\"Original audio file:\", wav_files[0])\n", + " print(\"Processed with QAOA:\", f\"{file_name}_output_sliced_qaoa_c30.wav\")\n", + " print(\"Processed with QFT:\", f\"{file_name}_output_sliced_qft_c30.wav\")" + ] + }, { "cell_type": "code", "execution_count": null, From 81d9987a8ce6984ab9bc5303bbffda7946d9ddcb Mon Sep 17 00:00:00 2001 From: Abdullah Al Omar Galib <109025616+ahkatlio@users.noreply.github.com> Date: Thu, 12 Jun 2025 18:38:33 +0600 Subject: [PATCH 10/26] Create underground_metadata_sliced_qaoa_c30.txt --- .../underground/underground_metadata_sliced_qaoa_c30.txt | 5 +++++ 1 file changed, 5 insertions(+) create mode 100644 Sample_Material/underground/underground_metadata_sliced_qaoa_c30.txt diff --git a/Sample_Material/underground/underground_metadata_sliced_qaoa_c30.txt b/Sample_Material/underground/underground_metadata_sliced_qaoa_c30.txt new file mode 100644 index 0000000..4a22e06 --- /dev/null +++ b/Sample_Material/underground/underground_metadata_sliced_qaoa_c30.txt @@ -0,0 +1,5 @@ +Original file: Sample_Material\underground.mp3 +Compression: 30% +Slice size: 2 +Insertion rule: interval +Connection rule: cx From a342f0aac78ffbf50607c826aadd055d8b2bbc03 Mon Sep 17 00:00:00 2001 From: Abdullah Al Omar Galib <109025616+ahkatlio@users.noreply.github.com> Date: Thu, 12 Jun 2025 18:38:37 +0600 Subject: [PATCH 11/26] Create underground_metadata_sliced_qft_c30.txt --- .../underground/underground_metadata_sliced_qft_c30.txt | 5 +++++ 1 file changed, 5 insertions(+) create mode 100644 Sample_Material/underground/underground_metadata_sliced_qft_c30.txt diff --git a/Sample_Material/underground/underground_metadata_sliced_qft_c30.txt b/Sample_Material/underground/underground_metadata_sliced_qft_c30.txt new file mode 100644 index 0000000..bc513c2 --- /dev/null +++ b/Sample_Material/underground/underground_metadata_sliced_qft_c30.txt @@ -0,0 +1,5 @@ +Original file: Sample_Material\underground.mp3 +Compression: 30% +Slice size: 2 +Insertion rule: interval +Connection rule: cz From cb75ea4cb29b45d53a0e684cc128b39377a028b2 Mon Sep 17 00:00:00 2001 From: Abdullah Al Omar Galib <109025616+ahkatlio@users.noreply.github.com> Date: Thu, 12 Jun 2025 18:38:40 +0600 Subject: [PATCH 12/26] Create underground_output_sliced_qaoa_c30.wav --- .../underground_output_sliced_qaoa_c30.wav | Bin 0 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