Shor Code Not Implemented

[adelshb]

Issue: Shor Code Not Implemented

Description:
Currently, the Shor code is not implemented in the repository. The Shor code is a quantum error-correcting code that encodes a logical qubit into nine physical qubits, providing fault tolerance against arbitrary single-qubit errors.

Expected Outcome:
Implementing the Shor code will allow the system to correct errors in quantum states and demonstrate a well-known error correction code. This would significantly expand the library of available codes.

Suggested Action:

• Study the details of Shor’s code and its implementation in quantum error correction.
• Implement the core functionality of Shor’s code, including:
  • Create a Child class of BaseCode for the Shor code.
  • Write the build_graph method for the Shor code.
  • Create a notebook on the Shor Code for the graph visualization and threshold calculation.
• Write unit tests and examples to validate the implementation.
• Consider optimizations and ensure compatibility with other quantum error-correcting codes in the repository.

References:

• Shor Code Wikipedia