Unambiguous discrimination of mixed quantum states

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dc.contributor.author Zhang, C
dc.contributor.author Feng, Y
dc.contributor.author Ying, MS
dc.date.accessioned 2010-05-28T09:42:21Z
dc.date.issued 2004-10-10
dc.identifier.citation Phys. Lett. A, 2004, 353 pp. 300 - 306
dc.identifier.other C1UNSUBMIT en_US
dc.identifier.uri http://hdl.handle.net/10453/8301
dc.description.abstract In 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.relation.isbasedon 10.1016/j.physleta.2005.12.097
dc.title Unambiguous discrimination of mixed quantum states
dc.type Journal Article
dc.parent Phys. Lett. A
dc.journal.volume 353
dc.journal.number 4 en_US
dc.publocation Amsterdam, The Netherlands en_US
dc.identifier.startpage 300 en_US
dc.identifier.endpage 306 en_US
dc.cauo.name FEIT.School of Systems, Management and Leadership en_US
dc.conference Verified OK en_US
dc.for 0105 Mathematical Physics
dc.personcode 103396
dc.personcode 106439
dc.percentage 100 en_US
dc.classification.name Mathematical Physics en_US
dc.classification.type FOR-08 en_US
dc.edition en_US
dc.custom en_US
dc.date.activity en_US
dc.location.activity en_US
dc.description.keywords quant-ph
pubs.embargo.period Not known
pubs.organisational-group /University of Technology Sydney
pubs.organisational-group /University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group /University of Technology Sydney/Strength - Quantum Computation and Intelligent Systems
utslib.copyright.status Closed Access
utslib.copyright.date 2015-04-15 12:17:09.805752+10
pubs.consider-herdc false
utslib.collection.history Closed (ID: 3)

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