Pauli Simplification Algorithm and Additional Pattern Metrics

[masa10-f]

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Context (if applicable):

This is a separate PR of #131, because it becomes too large.

Description of the change:

In this PR, I introduced the Pauli simplification algorithm within the feedforward layer. Also, I added extra properties in Pattern for detailed analysis of the assembly.

Related issue:

[codecov]

Codecov Report

❌ Patch coverage is 93.54839% with 4 lines in your changes missing coverage. Please review.
✅ Project coverage is 76.80%. Comparing base (030014e) to head (2450bc4).
⚠️ Report is 1 commits behind head on master.

Additional details and impacted files

@@            Coverage Diff             @@
##           master     #146      +/-   ##
==========================================
+ Coverage   76.11%   76.80%   +0.68%     
==========================================
  Files          21       21              
  Lines        2215     2276      +61     
  Branches      380      401      +21     
==========================================
+ Hits         1686     1748      +62     
+ Misses        456      454       -2     
- Partials       73       74       +1     

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[masa10-f]

@codex review

[chatgpt-codex-connector]

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[masa10-f]

@codex review

[chatgpt-codex-connector]

Codex Review: Didn't find any major issues. Swish!

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[d1ssk]

I left one minor comment, but otherwise this looks good to me.