Physical Review A, ( ISI ), Volume (95), No (3), Year (2017-3) , Pages (1-7)

Title : ( Reexamination of strong subadditivity: A quantum-correlation approach )

Authors: razieh taghiabadi , Seyed Javad Akhtarshenas , Mohsen Sarbishaei ,

Citation: BibTeX | EndNote

The strong subadditivity inequality of von Neumann entropy relates the entropy of subsystems of a tripartite state ρABC to that of the composite system. Here, we define T(a)(ρABC) as the extent to which ρABC fails to satisfy the strong subadditivity inequality S(ρB)+S(ρC)≤S(ρAB)+S(ρAC) with equality and investigate its properties. In particular, by introducing auxiliary subsystem E, we consider any purification |ψABCE⟩ of ρABC and formulate T(a)(ρABC) as the extent to which the bipartite quantum correlations of ρAB and ρAC, measured by entanglement of formation and quantum discord, change under the transformation B→BE and C→CE. Invariance of quantum correlations of ρAB and ρAC under such transformation is shown to be a necessary and sufficient condition for vanishing T(a)(ρABC). Our approach allows one to characterize, intuitively, the structure of states for which the strong subadditivity is saturated. Moreover, along with providing a conservation law for quantum correlations of states for which the strong subadditivity inequality is satisfied with equality, we find that such states coincide with those that the Koashi-Winter monogamy relation is saturated.

Keywords

, Strong subadditivity, Quantum correlation, Entanglement of formation, Quantum
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@article{paperid:1062319,
author = {Taghiabadi, Razieh and Akhtarshenas, Seyed Javad and Sarbishaei, Mohsen},
title = {Reexamination of strong subadditivity: A quantum-correlation approach},
journal = {Physical Review A},
year = {2017},
volume = {95},
number = {3},
month = {March},
issn = {2469-9926},
pages = {1--7},
numpages = {6},
keywords = {Strong subadditivity; Quantum correlation; Entanglement of formation; Quantum discord},
}

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%0 Journal Article
%T Reexamination of strong subadditivity: A quantum-correlation approach
%A Taghiabadi, Razieh
%A Akhtarshenas, Seyed Javad
%A Sarbishaei, Mohsen
%J Physical Review A
%@ 2469-9926
%D 2017

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