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Generalized Entanglement Monogamy and Polygamy Relations for N-Qubit Systems

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Abstract

We investigate the generalized monogamy and polygamy relations N-qubit systems. We give a general upper bound of the αth (0 ≤ α ≤ 2) power of concurrence for N-qubit states. The monogamy relations satisfied by the αth (0 ≤ α ≤ 2) power of concurrence are presented for N-qubit pure states under the partition AB and C1...CN− 2, as well as under the partition ABC1 and C2⋯CN− 2. These inequalities give rise to the restrictions on entanglement distribution and the trade off of entanglement among the subsystems. Similar results are also derived for negativity.

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Acknowledgments

This work is supported by the NSF of China under Grant No. 11847209; 11675113 and Beijing Municipal Commission of Education (KZ201810028042).

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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, Leipzig, 04103, Germany

    Shao-Ming Fei & Xianqing Li-Jost

  3. School of Mathematics and Statistics, Hainan Normal University, Haikou, 571158, China

    Xianqing Li-Jost

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  1. Zhi-Xiang Jin
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  2. Shao-Ming Fei
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  3. Xianqing Li-Jost
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Correspondence to Zhi-Xiang Jin or Shao-Ming Fei.

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Jin, ZX., Fei, SM. & Li-Jost, X. Generalized Entanglement Monogamy and Polygamy Relations for N-Qubit Systems. Int J Theor Phys 58, 1576–1589 (2019). https://doi.org/10.1007/s10773-019-04053-3

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  • DOI: https://doi.org/10.1007/s10773-019-04053-3

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