Convex Trace Functions on Quantum Channels and the Additivity Conjecture

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dc.creatorMueller, Markus
dc.date2008-09-24
dc.date2009-05-25
dc.date.accessioned2026-07-07T13:17:24Z
dc.date.available2026-07-07T13:17:24Z
dc.descriptionWe study a natural generalization of the additivity problem in quantum information theory: given a pair of quantum channels, then what is the set of convex trace functions that attain their maximum on unentangled inputs, if they are applied to the corresponding output state? We prove several results on the structure of the set of those convex functions that are "additive" in this more general sense. In particular, we show that all operator convex functions are additive for the Werner-Holevo channel in 3x3 dimensions, which contains the well-known additivity results for this channel as special cases.
dc.description9 pages, 1 figure. Published version
dc.identifierhttps://arxiv.org/abs/0809.4060
dc.identifierhttp://arxiv.org/abs/0809.4060
dc.identifierPhys. Rev. A 79, 052332 (2009)
dc.identifierdoi:10.1103/PhysRevA.79.052332
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231099
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleConvex Trace Functions on Quantum Channels and the Additivity Conjecture
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