Necessary and sufficient condition for saturating the upper bound of quantum discord
arXiv:1111.3837 · doi:10.1103/PhysRevA.85.032109
Abstract
We revisit the upper bound of quantum discord given by the von Neumann entropy of the measured subsystem. Using the Koashi-Winter relation, we obtain a trade-off between the amount of classical correlation and quantum discord in the tripartite pure states. The difference between the quantum discord and its upper bound is interpreted as a measure on the classical correlative capacity. Further, we give the explicit characterization of the quantum states saturating the upper bound of quantum discord, through the equality condition for the Araki-Lieb inequality. We also demonstrate that the saturating of the upper bound of quantum discord precludes any further correlation between the measured subsystem and the environment.
5 pages, 1figures, version accepted Phys.Rev.A, 85, 032109 (2012)
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