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Mirror Entanglement Measure of Multipartite Quantum States with Respect to k-partitions

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Abstract

In Monras et al. (Phys. Rev. A, 2011, 84(1):012301 2011), the authors presented an entanglement measure for bipartite pure states based on local unitary operations. In this paper, motivated by this idea, we obtained an entanglement measure for multipartite quantum states with respect to k-partitions, which is called mirror entanglement measure for multipartite k-nonseparable states, it is simply denoted by k-MEM. We show that this measure is well-defined, i.e., it satisfies some necessary conditions of entanglement measure including vanishes iff the multipartite quantum states are k-separable, invariance under local unitary operation and monotonicity under local quantum operation and classical communication.

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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, Yaxue Liu, Fangyu Zhou, Lili Yang & Donghua Yan

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  1. Yinzhu Wang
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  2. Yaxue Liu
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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).

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Wang, Y., Liu, Y., Zhou, F. et al. Mirror Entanglement Measure of Multipartite Quantum States with Respect to k-partitions. Int J Theor Phys 60, 4037–4043 (2021). https://doi.org/10.1007/s10773-021-04938-2

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  • DOI: https://doi.org/10.1007/s10773-021-04938-2

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