Quantum discord of two-qubit rank-two states
Abstract
Among various definitions of quantum correlations, quantum discord has attracted considerable attention. To find analytical expression of quantum discord is an intractable task. In this paper, we discuss thoroughly the case of two-qubit rank-two states. An analytical expression for the quantum discord is obtained by means of Koashi-Winter relation. A geometric picture is demonstrated by means of quantum steering ellipsoid. We point out that in this case the optimal measurement is indeed the von Neumann measurement, which is usually used in the study of quantum discord. However, for some two-qubit states with the rank larger than two, we find that three-element POVM measurement is more optimal. It means that more careful attention should be paid in the discussion of quantum discord.
Keywords
Cite
@article{arxiv.1107.2246,
title = {Quantum discord of two-qubit rank-two states},
author = {Mingjun Shi and Wei Yang and Fengjian Jiang and Jiangfeng Du},
journal= {arXiv preprint arXiv:1107.2246},
year = {2015}
}
Comments
21 pages, 5 figures, revised version