Probabilities of failure for quantum error correction

dc.creatorScott, A. J.
dc.date2004-06-09
dc.date2006-02-18
dc.date.accessioned2026-07-07T06:36:56Z
dc.date.available2026-07-07T06:36:56Z
dc.descriptionWe investigate the performance of a quantum error-correcting code when pushed beyond its intended capacity to protect information against errors, presenting formulae for the probability of failure when the errors affect more qudits than that specified by the code's minimum distance. Such formulae provide a means to rank different codes of the same minimum distance. We consider both error detection and error correction, treating explicit examples in the case of stabilizer codes constructed from qubits and encoding a single qubit.
dc.description20 pages, 7 figures. Quantum Inf. Process., to appear
dc.identifierhttps://arxiv.org/abs/quant-ph/0406063
dc.identifierhttp://arxiv.org/abs/quant-ph/0406063
dc.identifierQuantum Inf. Process. 4, 399 (2005)
dc.identifierdoi:10.1007/s11128-005-0002-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100256
dc.subjectQuantum Physics
dc.titleProbabilities of failure for quantum error correction
dc.typetext

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