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Tighter entanglement monogamy relations of qubit systems

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Abstract

Monogamy relations characterize the distributions of entanglement in multipartite systems. We investigate monogamy relations related to the concurrence C and the entanglement of formation E. We present new entanglement monogamy relations satisfied by the \(\alpha \)-th power of concurrence for all \(\alpha \ge 2\), and the \(\alpha \)-th power of the entanglement of formation for all \(\alpha \ge \sqrt{2}\). These monogamy relations are shown to be tighter than the existing ones.

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Acknowledgements

We thank Bao-Zhi Sun, Xue-Na Zhu and Xian Shi for very useful discussions. This work is supported by NSFC under Number 11275131.

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Authors and Affiliations

  1. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China

    Zhi-Xiang Jin & Shao-Ming Fei

  2. Max-Planck-Institute for Mathematics in the Sciences, 04103, Leipzig, Germany

    Shao-Ming Fei

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  1. Zhi-Xiang Jin
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  2. Shao-Ming Fei
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Correspondence to Zhi-Xiang Jin.

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Jin, ZX., Fei, SM. Tighter entanglement monogamy relations of qubit systems. Quantum Inf Process 16, 77 (2017). https://doi.org/10.1007/s11128-017-1520-3

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  • DOI: https://doi.org/10.1007/s11128-017-1520-3

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