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Tighter monogamy and polygamy relations of multiparty quantum entanglement

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Abstract

We explore monogamy and polygamy relations of entanglement in multipartite systems. By using the power of the bipartite entanglement measure, we establish a class of tight monogamy relations of multiparty entanglement with larger lower bounds in comparison to all known entanglement monogamy relations. We also give a class of tight polygamy relations of multiparty entanglement with smaller upper bounds than the existing ones, in terms of the power of the entanglement of assistance. We provide examples in which our new monogamy and polygamy relations are tighter than the previous ones.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant No. 11475054, the Hebei Natural Science Foundation of China under Grant Nos. A2020205014, A2018205125 and the Education Department of Hebei Province Natural Science Foundation under Grant No. ZD2020167.

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Authors and Affiliations

  1. College of Physics, Hebei Normal University, Shijiazhuang, 050024, China

    Limin Gao & Fengli Yan

  2. School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, 050024, China

    Ting Gao

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  1. Limin Gao
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  2. Fengli Yan
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Correspondence to Fengli Yan.

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Gao, L., Yan, F. & Gao, T. Tighter monogamy and polygamy relations of multiparty quantum entanglement. Quantum Inf Process 19, 276 (2020). https://doi.org/10.1007/s11128-020-02786-3

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