On some additivity problems in quantum information theory

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dc.creatorAmosov, G. G.
dc.creatorHolevo, A. S.
dc.creatorWerner, R. F.
dc.date2000-03-04
dc.date2000-05-13
dc.date.accessioned2026-07-07T04:27:41Z
dc.date.available2026-07-07T04:27:41Z
dc.descriptionA class of problems in quantum information theory, having an elementary formulation but still resisting solution, concerns the additivity properties of various quantities characterizing quantum channels, notably the "classical capacity", and the "maximal output purity". All known results, including extensive numerical work, are consistent with the conjecture that these quantities are indeed additive (resp. multiplicative) with respect to tensor products of channels. A proof of this conjecture would have important consequences in quantum information theory. In particular, according to this conjecture, the classical capacity or the maximal purity of outputs cannot be increased by using entangled inputs of the channel. In this paper we state the additivity/multiplicativity problems, give some relations between them, and prove some new partial results, which also support the conjecture.
dc.description13 pages, no figures, several typos are corrected
dc.identifierhttps://arxiv.org/abs/math-ph/0003002
dc.identifierhttp://arxiv.org/abs/math-ph/0003002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56511
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleOn some additivity problems in quantum information theory
dc.typetext

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