Approximate quantum error correction can lead to better codes

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dc.creatorLeung, D. W.
dc.creatorNielsen, M. A.
dc.creatorChuang, I. L.
dc.creatorYamamoto, Y.
dc.date1997-04-02
dc.date.accessioned2026-07-07T12:19:51Z
dc.date.available2026-07-07T12:19:51Z
dc.descriptionWe present relaxed criteria for quantum error correction which are useful when the specific dominant noise process is known. These criteria have no classical analogue. As an example, we provide a four-bit code which corrects for a single amplitude damping error. This code violates the usual Hamming bound calculated for a Pauli description of the error process, and does not fit into the GF(4) classification.
dc.description7 pages, 2 figures, submitted to Phys. Rev. A
dc.identifierhttps://arxiv.org/abs/quant-ph/9704002
dc.identifierhttp://arxiv.org/abs/quant-ph/9704002
dc.identifierPhys.Rev.A56:2567-2573,1997
dc.identifierdoi:10.1103/PhysRevA.56.2567
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212901
dc.subjectQuantum Physics
dc.titleApproximate quantum error correction can lead to better codes
dc.typetext

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