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Quantum error correction with degenerate codes for correlated noise

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arxiv 1007.3655 v2 pith:LZQN4E3C submitted 2010-07-21 quant-ph

Giulio Chiribella , Michele Dall'Arno , Giacomo Mauro D'Ariano , Chiara Macchiavello , Paolo Perinotti This is my paper
classification quant-ph
keywords codesnoisequantumboundcorrectioncorrelateddegenerateerror
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We introduce a quantum packing bound on the minimal resources required by nondegenerate error correction codes for any kind of noise. We prove that degenerate codes can outperform nondegenerate ones in the presence of correlated noise, by exhibiting examples where the quantum packing bound is violated.

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