On channels with finite Holevo capacity

dc.creatorShirokov, M. E.
dc.date2006-02-07
dc.date.accessioned2026-07-07T12:13:25Z
dc.date.available2026-07-07T12:13:25Z
dc.descriptionWe consider a nontrivial class of infinite dimensional quantum channels characterized by finiteness of the Holevo capacity. Some general properties of channels of this class are described. In particular, a special sufficient condition of existence of an optimal measure is obtained and examples of channels with no optimal measure are constructed. It is shown that each channel with finite Holevo capacity has a natural extension to the set of all positive normalized functionals on the algebra of all bounded operators. General properties of such an extension are described. The class of infinite dimensional channels, for which the Holevo capacity can be explicitly determined, is considered.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0602073
dc.identifierhttp://arxiv.org/abs/quant-ph/0602073
dc.identifierTheory of Probability and its Applications, Vol. 53, No. 4, (2008), 732-750
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210839
dc.subjectQuantum Physics
dc.titleOn channels with finite Holevo capacity
dc.typetext

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