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Optimal quantum detectors for unambiguous detection of mixed states

Eldar, Yonina C. and Stojnic, Mihailo and Hassibi, Babak (2004) Optimal quantum detectors for unambiguous detection of mixed states. Physical Review A, 69 . Art. No 062318. ISSN 1050-2947. doi:10.1103/PhysRevA.69.062318.

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We consider the problem of designing an optimal quantum detector that distinguishes unambiguously between a collection of mixed quantum states. Using arguments of duality in vector space optimization, we derive necessary and sufficient conditions for an optimal measurement that maximizes the probability of correct detection. We show that the previous optimal measurements that were derived for certain special cases satisfy these optimality conditions. We then consider state sets with strong symmetry properties, and show that the optimal measurement operators for distinguishing between these states share the same symmetries, and can be computed very efficiently by solving a reduced size semidefinite program.

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Additional Information:© 2004 American Physical Society. Received 7 December 2003; published 21 June 2004.
Classification Code:PACS number ( s ) : 03.67.Hk
Record Number:CaltechAUTHORS:20150211-074354159
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:54682
Deposited By: Shirley Slattery
Deposited On:13 Feb 2015 18:46
Last Modified:10 Nov 2021 20:36

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