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Tighter generalized monogamy and polygamy relations for multiqubit systems

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Abstract

We present a different kind of monogamy and polygamy relations based on concurrence and concurrence of assistance for multiqubit systems. By relabeling the subsystems associated with different weights, a smaller upper bound of the \(\alpha \)th (\(0\le \alpha \le 2\)) power of concurrence for multiqubit states is obtained. We also present tighter monogamy relations satisfied by the \(\alpha \)th (\(0\le \alpha \le 2\)) power of concurrence for N-qubit pure states under the partition AB and \(C_1 \cdots C_{N-2}\), as well as under the partition \(ABC_1\) and \(C_2\cdots C_{N-2}\). 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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Acknowledgements

This work is supported by the NSF of China under Grant Nos. 11847209; 11675113; Beijing Municipal Commission of Education (KM201810011009); Beijing Natural Science Foundation (Z190005) and the China Postdoctoral Science Foundation funded project.

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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. School of Physics, University of Chinese Academy of Sciences, Beijing, 100049, China

    Zhi-Xiang Jin

  3. 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 or Shao-Ming Fei.

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Jin, ZX., Fei, SM. Tighter generalized monogamy and polygamy relations for multiqubit systems. Quantum Inf Process 19, 23 (2020). https://doi.org/10.1007/s11128-019-2522-0

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