1307.1740 (Austin G. Fowler)
Austin G. Fowler
Consider a 2-D square array of qubits of infinite extent. We provide a formal proof that the infinite size minimum weight perfect matching problem associated with running a particular class of topological quantum error correction codes on this array can be exactly solved with a corresponding infinite 2-D square array of classical computing devices in constant average time per round of error detection provided physical error rates are below fixed nonzero values, and other physically reasonable assumptions.
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http://arxiv.org/abs/1307.1740
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