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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. https://resolver.caltech.edu/CaltechAUTHORS:20150211-074354159

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Abstract

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevA.69.062318DOIArticle
http://journals.aps.org/pra/abstract/10.1103/PhysRevA.69.062318PublisherArticle
http://arxiv.org/abs/quant-ph/0312061v1arXivDiscussion Paper
Additional Information:© 2004 American Physical Society. Received 7 December 2003; published 21 June 2004.
Classification Code:PACS number ( s ) : 03.67.Hk
DOI:10.1103/PhysRevA.69.062318
Record Number:CaltechAUTHORS:20150211-074354159
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20150211-074354159
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:54682
Collection:CaltechAUTHORS
Deposited By: Shirley Slattery
Deposited On:13 Feb 2015 18:46
Last Modified:10 Nov 2021 20:36

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