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Lowering Connectivity Requirements for Bivariate Bicycle Codes Using Morphing Circuits
Mackenzie H Shaw1, Barbara M Terhal1
1Delft University of Technology, QuTech, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands and Delft Institute of Applied Mathematics, Mekelweg 4, 2628 CD Delft, The Netherlands.
Physical Review Letters
|March 25, 2025
Summary
Researchers developed novel morphing circuits for bivariate bicycle (BB) codes, enhancing qubit connectivity. This innovation maintains performance while improving encoding rates for quantum error correction.
Area of Science:
- Quantum Information Science
- Quantum Error Correction
- Theoretical Computer Science
Background:
- Bivariate bicycle (BB) codes offer competitive logical performance compared to surface codes.
- BB codes previously required high qubit connectivity (degree six).
- Improved encoding rates are crucial for efficient quantum computation.
Purpose of the Study:
- To generalize morphing circuits for application to BB codes.
- To design a new family of BB codes with reduced qubit connectivity requirements.
- To establish a general framework for morphing circuit design.
Main Methods:
- Generalization of the morphing circuit design principle.
- Application of morphing circuits to BB codes.
- Development of a general framework for morphing circuit design applicable to two-block group algebra codes.
Main Results:
- A new family of BB codes requiring only degree-five qubit connectivity was defined.
- The numerical performance of these new BB codes is maintained.
- A general framework for designing morphing circuits was developed.
Conclusions:
- Morphing circuits offer a pathway to more efficient BB codes.
- Reduced qubit connectivity requirements can simplify hardware implementation.
- The developed framework is applicable to a broader class of quantum error-correcting codes.
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