Geometric quantum discord with Bures distance

We define a new measure of quantum correlations in bipartite quantum systems given by the Bures distance of the system state to the set of classical states with respect to one subsystem, that is, to the states with zero quantum discord. Our measure is a geometrical version of the quantum discord. As...

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Bibliographic Details
Published inNew journal of physics Vol. 15; no. 10; pp. 103001 - 18
Main Authors Spehner, D, Orszag, M
Format Journal Article
LanguageEnglish
Published IOP Publishing 02.10.2013
Institute of Physics: Open Access Journals
Subjects
Correlation analysis
Discrimination
Entanglement
Optimization
Physics
Quantum Physics
Quantum theory
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Summary:We define a new measure of quantum correlations in bipartite quantum systems given by the Bures distance of the system state to the set of classical states with respect to one subsystem, that is, to the states with zero quantum discord. Our measure is a geometrical version of the quantum discord. As the latter it quantifies the degree of non-classicality in the system. For pure states it is identical to the geometric measure of entanglement. We show that for mixed states it coincides with the optimal success probability of an ambiguous quantum state discrimination task. Moreover, the closest zero-discord states to a state ρ are obtained in terms of the corresponding optimal measurements.
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ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/15/10/103001