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Geometric Global Quantum Discord of Two-qubit X States

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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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Notes

  1. It is also named geometric discord (GD).

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Acknowledgments

We would like to thank the editor and kind referees for their invaluable suggestions, which improved the manuscript greatly.

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Authors and Affiliations

  1. Faculty of Science, Xi’an University of Architecture and Technology, Xi’an, 710055, China

    Wen-Chao Qiang & Hua-Ping Zhang

  2. Huaqing College, Xi’an University of Architecture and Technology, Xi’an, 710055, China

    Lei Zhang

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  1. Wen-Chao Qiang
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  2. Hua-Ping Zhang
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  3. Lei Zhang
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Correspondence to Wen-Chao Qiang.

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Qiang, WC., Zhang, HP. & Zhang, L. Geometric Global Quantum Discord of Two-qubit X States. Int J Theor Phys 55, 1833–1846 (2016). https://doi.org/10.1007/s10773-015-2823-8

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  • DOI: https://doi.org/10.1007/s10773-015-2823-8

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