Unambiguous discrimination of mixed quantum states

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dc.creatorZhang, Chi
dc.creatorFeng, Yuan
dc.creatorYing, Ming Sheng
dc.date2004-10-10
dc.date2006-10-16
dc.date.accessioned2026-07-07T06:40:46Z
dc.date.available2026-07-07T06:40:46Z
dc.descriptionIn this paper, we consider the problem of unambiguous discrimination between a set of mixed quantum states. We first divide the density matrix of each mixed state into two parts by the fact that it comes from ensemble of pure quantum states. The first part will not contribute anything to the discrimination, the second part has support space linearly independent to each other. Then the problem we consider can be reduced to a problem in which the strategy of set discrimination can be used in designing measurements to discriminate mixed states unambiguously. We find a necessary and sufficient condition of unambiguous mixed state discrimination, and also point out that searching the optimal success probability of unambiguous discrimination is mathematically the well-known semi-definite programming problem. A upper bound of the optimal success probability is also presented. Finally, We generalize the concept of set discrimination to mixed state and point out that the problem of discriminating it unambiguously is equivalent to that of unambiguously discriminating mixed states.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0410073
dc.identifierhttp://arxiv.org/abs/quant-ph/0410073
dc.identifierPhys. Lett. A, 353, 300-306 (2006)
dc.identifierdoi:10.1016/j.physleta.2005.12.097
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101482
dc.subjectQuantum Physics
dc.titleUnambiguous discrimination of mixed quantum states
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