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Geometric Global Quantum Discord of Two-qubit X States
Authors:Wen-Chao Qiang  Hua-Ping Zhang  Lei Zhang
Institution:1.Faculty of Science,Xi’an University of Architecture and Technology,Xi’an,China;2.Huaqing College,Xi’an University of Architecture and Technology,Xi’an,China
Abstract:In this paper, we find that the geometric global quantum discord proposed by Xu and the total quantum correlations proposed by Hassan and Joag are identical. Moreover, we work out the analytical formulas of the geometric global quantum discord and geometric quantum discord both for two-qubit X states, respectively. We further illustrate how to use these formulas to deal with a few particular examples. We also compare the results achieved by using three kinds of geometric quantum discords. The geometric quantum discord is verified as a tight lower bound of the geometric global quantum discord for two-qubit X states.
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