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arxiv: 1007.3655 · v2 · pith:LZQN4E3Cnew · submitted 2010-07-21 · 🪐 quant-ph

Quantum error correction with degenerate codes for correlated noise

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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