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  Optimal unambiguous state discrimination of two density matrices: Lower bound and class of exact solutions

Raynal, P., & Lutkenhaus, N. (2005). Optimal unambiguous state discrimination of two density matrices: Lower bound and class of exact solutions. PHYSICAL REVIEW A, 72(2): 022342. doi:10.1103/PhysRevA.72.022342.

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 Creators:
Raynal, P1, Author
Lutkenhaus, N2, Author              
Affiliations:
1external, ou_persistent22              
2Max Planck Research Group, Max Planck Institute for the Science of Light, Max Planck Society, ou_2364712              

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Free keywords: NONORTHOGONAL QUANTUM STATES; OPTIMAL DISTINCTION; DIFFERENTIATEOptics; Physics;
 Abstract: Recently the problem of unambiguous state discrimination of mixed quantum states has attracted much attention. So far, bounds on the optimum success probability have been derived [T. Rudolph, R. W. Spekkens, and P. S. Turner, Phys. Rev. A 68, 010301(R) (2003)]. 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.

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Language(s): eng - English
 Dates: 2005
 Publication Status: Published online
 Pages: 8
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Degree: -

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Title: PHYSICAL REVIEW A
Source Genre: Journal
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Publ. Info: ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA : AMERICAN PHYSICAL SOC
Pages: - Volume / Issue: 72 (2) Sequence Number: 022342 Start / End Page: - Identifier: ISSN: 1050-2947