Comments on multiplicativity of maximal p-norms when p = 2

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dc.creatorKing, Christopher
dc.creatorRuskai, Mary Beth
dc.date2004-01-07
dc.date.accessioned2026-07-07T12:29:18Z
dc.date.available2026-07-07T12:29:18Z
dc.descriptionWe consider the maximal p-norm associated with a completely positive map and the question of its multiplicativity under tensor products. We give a condition under which this multiplicativity holds when p = 2, and we describe some maps which satisfy our condition. This class includes maps for which multiplicativity is known to fail for large p. Our work raises some questions of independent interest in matrix theory; these are discussed in two appendices.
dc.description16 pages. For the Festschrift in honor of A. Holevo's 60th birthday
dc.identifierhttps://arxiv.org/abs/quant-ph/0401026
dc.identifierhttp://arxiv.org/abs/quant-ph/0401026
dc.identifierQuantum Inf. Comput. 4, 500-512 (2004)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215831
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.subjectOperator Algebras
dc.titleComments on multiplicativity of maximal p-norms when p = 2
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