Subsystem Fault Tolerance with the Bacon-Shor Code
Abstract
We discuss how the presence of gauge subsystems in the Bacon-Shor code [D. Bacon , Phys. Rev. A 73, 012340 (2006)PLRAAN1050-294710.1103/PhysRevA.73.012340] leads to remarkably simple and efficient methods for fault-tolerant error correction (FTEC). Most notably, FTEC does not require entangled ancillary states, and it can be implemented with nearest-neighbor two-qubit measurements. By using these methods, we prove a lower bound on the quantum accuracy threshold, 1.94×10-4 for adversarial stochastic noise, that improves previous lower bounds by nearly an order of magnitude.
- Publication:
-
Physical Review Letters
- Pub Date:
- June 2007
- DOI:
- 10.1103/PhysRevLett.98.220502
- arXiv:
- arXiv:quant-ph/0610063
- Bibcode:
- 2007PhRvL..98v0502A
- Keywords:
-
- 03.67.Pp;
- Quantum error correction and other methods for protection against decoherence;
- Quantum Physics
- E-Print:
- 4 pages, 2 figures. v3: small revisions, appendix moved to chapter 5 in quant-ph/0703230