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.

Quantum error correction with degenerate codes for correlated noise

CHIRIBELLA, GIULIO;DALL'ARNO, MICHELE;D'ARIANO, GIACOMO;MACCHIAVELLO, CHIARA;PERINOTTI, PAOLO
2011-01-01

Abstract

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/309505
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