Qubit ZooIntroduces subsystem codes and the Bacon-Shor code family. Shows that by introducing gauge degrees of freedom, the weight of syndrome measurements can be reduced to 2 while maintaining the code distance, dramatically simplifying hardware requirements for quantum error correction.
Key Results
- Subsystem code framework: logical + gauge + stabilizer decomposition
- m²,1,m Bacon-Shor code on m×m grid
- Syndrome extraction via weight-2 gauge measurements only
- Can be made asymmetric (m₁×m₂) for biased noise
Links
- Journal: Physical Review A
- arXiv: quant-ph/0506023