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Formalize operator-algebraic aspects of quantum systems with Lean and AI.

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QuantumSystem

A Lean 4 formalization project focusing on quantum systems from an operator-algebraic perspective.

Structure

  • QuantumSystem/Algebra/CStarAlgebra/: Lemmas and definitions for States and the GNS construction.
  • QuantumSystem/ForMathlib/: Modules that must not import modules outside of Mathlib.

Contributing

As of December 24, 2025, this repository is not accepting issues, pull requests, or other contributions.

Please fork the repository if you would like to customize it.

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Formalize operator-algebraic aspects of quantum systems with Lean and AI.

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