Publication: Optimal error correction in topological subsystem codes
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2012-05-14
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American Physical Society
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Abstract
A promising approach to overcome decoherence in quantum computing schemes is to perform active quantum error correction using topology. Topological subsystem codes incorporate both the benefits of topological and subsystem codes, allowing for error syndrome recovery with only 2-local measurements in a two-dimensional array of qubits. We study the error threshold for topological subsystem color codes under very general external noise conditions. By transforming the problem into a classical disordered spin model, we estimate using Monte Carlo simulations that topological subsystem codes have an optimal error tolerance of 5.5(2)%. This means there is ample space.
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© 2012 American Physical Society. M.A.M.-D. and H.B. thank the Spanish MICINN Grant No. FIS2009-10061, CAM research consortium QUITEMAD S2009-ESP-1594, European Commission PICC: FP7 2007-2013, Grant No. 249958, and UCM-BS Grant No. GICC-910758.Work at the Perimeter Institute is supported by Industry Canada and Ontario MRI. H.G.K. acknowledges support from the SNF (Grant No. PP002-114713) and the NSF (Grant No. DMR-1151387). We thank ETH Zurich for CPU time on the Brutus cluster and the Centro de Supercomputación y Visualisación de Madrid (CeSViMa) for access to the Magerit-2 cluster.