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arxiv: 1210.4249 · v1 · submitted 2012-10-16 · 🪐 quant-ph

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Checking the error correction strength of arbitrary surface code logical gates

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classification 🪐 quant-ph
keywords errorslogicalarbitraryerrorfailuregatesanalyzingcapable
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Topologically quantum error corrected logical gates are complex. Chains of errors can form in space and time and diagonally in spacetime. It is highly nontrivial to determine whether a given logical gate is free of low weight combinations of errors leading to failure. We report a new tool Nestcheck capable of analyzing an arbitrary topological computation and determining the minimum number of errors required to cause failure.

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