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Some characterizations of fully separability for multipartite quantum states

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Abstract

In multipartite composite quantum systems, there are many quantum correlations, which are very important physical resources in quantum computation and quantum information. In this paper, we mainly give some characterizations for multipartite fully separable states, and obtain some relations between fully separable states, fully classical states, fully product states and fully Bell local states; Furthermore, we show that fully separable pure states, fully classical pure states, fully product pure states and fully Bell local pure states are equivalent.

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Acknowledgements

The project is supported by the Natural Science Foundation of Shanxi Province, China (Grant No. 201901D111254).

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Authors and Affiliations

  1. School of Applied Science, Taiyuan University of Science and Technology, Taiyuan, 030024, People’s Republic of China

    Yinzhu Wang, Huimin Wu, Fangyu Zhou, Lili Yang & Donghua Yan

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  1. Yinzhu Wang
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  2. Huimin Wu
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  3. Fangyu Zhou
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  4. Lili Yang
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  5. Donghua Yan
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Correspondence to Yinzhu Wang.

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This work is supported by the Natural Science Foundation of Shanxi Province, China(Grant No. 201901D111254, 201801D221019)

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Wang, Y., Wu, H., Zhou, F. et al. Some characterizations of fully separability for multipartite quantum states. Int J Theor Phys 61, 84 (2022). https://doi.org/10.1007/s10773-022-05083-0

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