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arXiv · 1308.4776

High-threshold topological quantum error correction against biased noise

Ashley M. Stephens·William J. Munro·Kae Nemoto
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Abstract

Quantum information can be protected from decoherence and other errors, but only if these errors are sufficiently rare. For quantum computation to become a scalable technology, practical schemes for quantum error correction that can tolerate realistically high error rates will be necessary. In some physical systems, errors may exhibit a characteristic structure that can be carefully exploited to improve the efficacy of error correction. Here, we describe a scheme for topological quantum error correction to protect quantum information from a dephasing-biased error model, where we combine a repetition code with a topological cluster state. We find that the scheme tolerates error rates of up to 1.37%-1.83% per gate, requiring only short-range interactions in a two-dimensional array.

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Ashley M. Stephens, William J. Munro, Kae Nemoto. 2013-12-12. High-threshold topological quantum error correction against biased noise. https://doi.org/10.1103/physreva.88.060301

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