A Family of Quantum Stabilizer Codes Based on the Weyl Commutation Relations over a Finite Field

Simple item page
dc.creatorArvind, V.
dc.creatorParthasarathy, K. R.
dc.date2002-06-25
dc.date.accessioned2026-07-07T06:04:29Z
dc.date.available2026-07-07T06:04:29Z
dc.descriptionUsing the Weyl commutation relations over a finite field we introduce a family of error-correcting quantum stabilizer codes based on a class of symmetric matrices over the finite field satisfying certain natural conditions. When the field is GF(2) the existence of a rich class of such symmetric matrices is demonstrated by a simple probabilistic argument depending on the Chernoff bound for i.i.d symmetric Bernoulli trials. If, in addition, these symmetric matrices are assumed to be circulant it is possible to obtain concrete examples by a computer program. The quantum codes thus obtained admit elegant encoding circuits.
dc.description16 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0206174
dc.identifierhttp://arxiv.org/abs/quant-ph/0206174
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90312
dc.subjectQuantum Physics
dc.titleA Family of Quantum Stabilizer Codes Based on the Weyl Commutation Relations over a Finite Field
dc.typetext

Files

Collections

arXiv