Subsystem Code Constructions

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dc.creatorAly, Salah A.
dc.creatorKlappenecker, Andreas
dc.date2007-12-28
dc.date2008-01-09
dc.date.accessioned2026-07-07T12:09:13Z
dc.date.available2026-07-07T12:09:13Z
dc.descriptionSubsystem codes are the most versatile class of quantum error-correcting codes known to date that combine the best features of all known passive and active error-control schemes. The subsystem code is a subspace of the quantum state space that is decomposed into a tensor product of two vector spaces: the subsystem and the co-subsystem. A generic method to derive subsystem codes from existing subsystem codes is given that allows one to trade the dimensions of subsystem and co-subsystem while maintaining or improving the minimum distance. As a consequence, it is shown that all pure MDS subsystem codes are derived from MDS stabilizer codes. The existence of numerous families of MDS subsystem codes is established. Propagation rules are derived that allow one to obtain longer and shorter subsystem codes from given subsystem codes. Furthermore, propagation rules are derived that allow one to construct a new subsystem code by combining two given subsystem codes.
dc.description5 pages, trading dimensions of subsystem codes, MDS subsystem codes, and propagation rules. All stabilizer codes are converted to subsystem codes. A talk given at QEC07, and submitted to IEEE ISIT 2008
dc.identifierhttps://arxiv.org/abs/0712.4321
dc.identifierhttp://arxiv.org/abs/0712.4321
dc.identifierProc. of IEEE ISIT 08, Toronto, CA, 2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209554
dc.subjectQuantum Physics
dc.subjectInformation Theory
dc.titleSubsystem Code Constructions
dc.typetext

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