Higher-Rank Numerical Ranges of Unitary and Normal Matrices

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dc.creatorChoi, Man-Duen
dc.creatorHolbrook, John A.
dc.creatorKribs, David W.
dc.creatorZyczkowski, Karol
dc.date2006-08-30
dc.date2007-01-31
dc.date.accessioned2026-07-07T09:43:40Z
dc.date.available2026-07-07T09:43:40Z
dc.descriptionWe verify a conjecture on the structure of higher-rank numerical ranges for a wide class of unitary and normal matrices. Using analytic and geometric techniques, we show precisely how the higher-rank numerical ranges for a generic unitary matrix are given by complex polygons determined by the spectral structure of the matrix. We discuss applications of the results to quantum error correction, specifically to the problem of identification and construction of codes for binary unitary noise models.
dc.description23 pages, 3 figures, preprint version
dc.identifierhttps://arxiv.org/abs/quant-ph/0608244
dc.identifierhttp://arxiv.org/abs/quant-ph/0608244
dc.identifierOperators and Matrices 1, 409-426 (2007)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162644
dc.subjectQuantum Physics
dc.titleHigher-Rank Numerical Ranges of Unitary and Normal Matrices
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