Notes on super-operator norms induced by Schatten norms

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dc.creatorWatrous, John
dc.date2004-11-10
dc.date.accessioned2026-07-07T06:11:28Z
dc.date.available2026-07-07T06:11:28Z
dc.descriptionThis paper considers basic properties of super-operator norms induced by Schatten p-norms. Such super-operator norms arise in various contexts in the study of quantum information. It is proved that for completely positive super-operators, the value of any such norm is achieved by a positive semidefinite input, answering a question recently posed by King and Ruskai. However, for any choice of p, there exists a super-operator that is the difference of two completely positive, trace-preserving super-operators such that the value of the super-operator norm is not even achieved on a Hermitian input operator. Also considered are the properties of the above norms for super-operators tensored with the identity super-operator.
dc.description11 pages, accepted for publication in Quantum Information and Computation
dc.identifierhttps://arxiv.org/abs/quant-ph/0411077
dc.identifierhttp://arxiv.org/abs/quant-ph/0411077
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92498
dc.subjectQuantum Physics
dc.titleNotes on super-operator norms induced by Schatten norms
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