Subsystem fault tolerance with the Bacon-Shor code

Andrew W. Cross; Panos Aliferis

Subsystem fault tolerance with the Bacon-Shor code

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arxiv quant-ph/0610063 v3 pith:RJHE4TR2 submitted 2006-10-10 quant-ph

Panos Aliferis , Andrew W. Cross This is my paper · ORCID

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keywords bacon-shorcodefteclowermethodsaccuracyadversarialancillary

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We discuss how the presence of gauge sub-systems 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 \times 10^{-4} for adversarial stochastic noise, that improves previous lower bounds by nearly an order of magnitude.

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