Graphs, Quadratic Forms, and Quantum Codes

dc.creatorGrassl, Markus
dc.creatorKlappenecker, Andreas
dc.creatorRoetteler, Martin
dc.date2007-03-13
dc.date.accessioned2026-07-07T13:17:20Z
dc.date.available2026-07-07T13:17:20Z
dc.descriptionWe show that any stabilizer code over a finite field is equivalent to a graphical quantum code. Furthermore we prove that a graphical quantum code over a finite field is a stabilizer code. The technique used in the proof establishes a new connection between quantum codes and quadratic forms. We provide some simple examples to illustrate our results.
dc.description5 pages, 2 figures, paper presented at the 2002 IEEE International Symposium on Information Theory
dc.identifierhttps://arxiv.org/abs/quant-ph/0703112
dc.identifierhttp://arxiv.org/abs/quant-ph/0703112
dc.identifierProceedings 2002 IEEE International Symposium on Information Theory (ISIT 2002), Lausanne, Switzerland, June/July 2002, p. 45
dc.identifierdoi:10.1109/ISIT.2002.1023317
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231083
dc.subjectQuantum Physics
dc.subjectInformation Theory
dc.titleGraphs, Quadratic Forms, and Quantum Codes
dc.typetext

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