Remarkable Degenerate Quantum Stabilizer Codes Derived from Duadic Codes

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dc.creatorAly, Salah A.
dc.creatorKlappenecker, Andreas
dc.creatorSarvepalli, Pradeep Kiran
dc.date2006-01-18
dc.date.accessioned2026-07-07T07:00:27Z
dc.date.available2026-07-07T07:00:27Z
dc.descriptionGood quantum codes, such as quantum MDS codes, are typically nondegenerate, meaning that errors of small weight require active error-correction, which is--paradoxically--itself prone to errors. Decoherence free subspaces, on the other hand, do not require active error correction, but perform poorly in terms of minimum distance. In this paper, examples of degenerate quantum codes are constructed that have better minimum distance than decoherence free subspaces and allow some errors of small weight that do not require active error correction. In particular, two new families of [[n,1,>= sqrt(n)]]_q degenerate quantum codes are derived from classical duadic codes.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0601117
dc.identifierhttp://arxiv.org/abs/quant-ph/0601117
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108032
dc.subjectQuantum Physics
dc.titleRemarkable Degenerate Quantum Stabilizer Codes Derived from Duadic Codes
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