Noiseless subsystems for collective rotation channels in quantum information theory

dc.creatorHolbrook, J. A.
dc.creatorKribs, D. W.
dc.creatorLaflamme, R.
dc.creatorPoulin, D.
dc.date2004-02-06
dc.date.accessioned2026-07-07T06:42:23Z
dc.date.available2026-07-07T06:42:23Z
dc.descriptionCollective rotation channels are a fundamental class of channels in quantum computing and quantum information theory. The commutant of the noise operators for such a channel is a C*-algebra which is equal to the set of fixed points for the channel. Finding the precise spatial structure of the commutant algebra for a set of noise operators associated with a channel is a core problem in quantum error prevention. We draw on methods of operator algebras, quantum mechanics and combinatorics to explicitly determine the structure of the commutant for the class of collective rotation channels.
dc.description21 pages, preprint version
dc.identifierhttps://arxiv.org/abs/math/0402105
dc.identifierhttp://arxiv.org/abs/math/0402105
dc.identifierIntegral Eqnts. & Operator Thy., 51 (2005), 215-234.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102021
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subjectQuantum Physics
dc.subject47L90, 47N50, 81P68
dc.titleNoiseless subsystems for collective rotation channels in quantum information theory
dc.typetext

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