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Implement Shor's Algorithm with Quantum Circuit Simulation #3

Description

@virtualzx-nad

Original issue related to PR TheAlgorithms#12545

Implement a classical simulation of Shor's quantum factoring algorithm. This should include:

  1. Quantum circuit simulation
  2. Period finding implementation
  3. Classical post-processing
  4. Comprehensive documentation explaining the algorithm
  5. Test cases with known factorizations

This is an advanced task that requires understanding of:

  • Quantum computing concepts
  • Number theory
  • Python's numerical computing capabilities

The implementation should be educational and well-documented to serve as a reference.

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