Published June 1, 2007
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Subsystem Fault Tolerance with the Bacon-Shor Code
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Abstract
We discuss how the presence of gauge subsystems in the Bacon-Shor code [D. Bacon, Phys. Rev. A 73, 012340 (2006)] 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.
Additional Information
©2007 The American Physical Society (Received 16 January 2007; published 31 May 2007) We are grateful to Ike Chuang, David DiVincenzo, Debbie Leung, John Preskill, Krysta Svore, and Barbara Terhal for helpful discussions and suggestions. A.C. thanks John Preskill for the invitation to the Caltech Institute for Quantum Information, where some of this work was done. P.A. is supported by the NSF under grant no. PHY-0456720. A.C. is partially supported by IBM T.J. Watson Research Center.Files
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- Eprint ID
- 8494
- Resolver ID
- CaltechAUTHORS:ALIprl07
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2007-08-15Created from EPrint's datestamp field
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2021-11-08Created from EPrint's last_modified field