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Information-theoretical Discord for a Class of Three-qubit X States

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Abstract

Based on the definition of multipartite quantum discord proposed in [Phys. Rev. Lett. 124, 110401 (2020)], we give the analytic expression for the information-theoretical multipartite quantum discord of one type of three-qubit X states which depend on four real parameters. In addition, we present the level surfaces of multipartite quantum discord of X states. As an application, we investigate the dynamic behavior of multipartite quantum discord for the three-qubit X states under the phase flip channel, which presents the sudden change of multipartite quantum discord.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos.11771011,11775040,12011530014) and the Natural Science Foundation of Shanxi Province, China (Grant Nos.201801D221032, 201801D121016) and Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (Grant No. 2019L0178).

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Authors and Affiliations

  1. College of Mathematics, Institute of Mathematics, Taiyuan University of Technology, 030024, Taiyuan, China

    Jia-Ning Wei, Zhou-Bo Duan & Jun Zhang

  2. College of Data Science, Taiyuan University of Technology, 030024, Taiyuan, China

    Jun Zhang

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  1. Jia-Ning Wei
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  2. Zhou-Bo Duan
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  3. Jun Zhang
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Correspondence to Zhou-Bo Duan.

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Wei, JN., Duan, ZB. & Zhang, J. Information-theoretical Discord for a Class of Three-qubit X States. Int J Theor Phys 61, 257 (2022). https://doi.org/10.1007/s10773-022-05240-5

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