Optimal Unambiguous State Discrimination of two density matrices and its link with the Fidelity

dc.creatorRaynal, Philippe
dc.creatorLütkenhaus, Norbert
dc.date2005-02-25
dc.date.accessioned2026-07-07T09:42:28Z
dc.date.available2026-07-07T09:42:28Z
dc.descriptionRecently the problem of Unambiguous State Discrimination (USD) of mixed quantum states has attracted much attention. So far, bounds on the optimum success probability have been derived [1]. For two mixed states they are given in terms of the fidelity. Here we give tighter bounds as well as necessary and sufficient conditions for two mixed states to reach these bounds. Moreover we construct the corresponding optimal measurement strategies. With this result, we provide analytical solutions for unambiguous discrimination of a class of generic mixed states. This goes beyond known results which are all reducible to some pure state case. Additionally, we show that examples exist where the bounds cannot be reached.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0502165
dc.identifierhttp://arxiv.org/abs/quant-ph/0502165
dc.identifierPhys. Rev. A 72, 022342 (2005)
dc.identifierdoi:10.1103/PhysRevA.72.022342
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162193
dc.subjectQuantum Physics
dc.titleOptimal Unambiguous State Discrimination of two density matrices and its link with the Fidelity
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