Quantum Information Processing, Volume (14), No (1), Year (2015-1) , Pages (247-267)

Title : ( Computable measure of quantum correlation )

Authors: Seyed Javad Akhtarshenas , Hamidreza Mohammadi , Saman Karimi , Zahra Azmi ,

Citation: BibTeX | EndNote

A general state of an m⊗n system is a classical-quantum state if and only if its associated A -correlation matrix (a matrix constructed from the coherence vector of the party A , the correlation matrix of the state, and a function of the local coherence vector of the subsystem B ), has rank no larger than m−1 . Using the general Schatten p -norms, we quantify quantum correlation by measuring any violation of this condition. The required minimization can be carried out for the general p -norms and any function of the local coherence vector of the unmeasured subsystem, leading to a class of computable quantities which can be used to capture the quantumness of correlations due to the subsystem A . We introduce two special members of these quantifiers: The first one coincides with the tight lower bound on the geometric measure of discord, so that such lower bound fully captures the quantum correlation of a bipartite system. Accordingly, a vanishing tight lower bound on the geometric discord is a necessary and sufficient condition for a state to be zero-discord. The second quantifier has the property that it is invariant under a local and reversible operation performed on the unmeasured subsystem, so that it can be regarded as a computable well-defined measure of the quantum correlations. The approach presented in this paper provides a way to circumvent the problem with the geometric discord. We provide some examples to exemplify this measure

Keywords

, Quantum discord, Geometric discord, A-correlation
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@article{paperid:1046553,
author = {Akhtarshenas, Seyed Javad and Hamidreza Mohammadi and Saman Karimi and Zahra Azmi},
title = {Computable measure of quantum correlation},
journal = {Quantum Information Processing},
year = {2015},
volume = {14},
number = {1},
month = {January},
issn = {1570-0755},
pages = {247--267},
numpages = {20},
keywords = {Quantum discord; Geometric discord; A-correlation matrix},
}

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%0 Journal Article
%T Computable measure of quantum correlation
%A Akhtarshenas, Seyed Javad
%A Hamidreza Mohammadi
%A Saman Karimi
%A Zahra Azmi
%J Quantum Information Processing
%@ 1570-0755
%D 2015

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