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Polygamy relations of multipartite systems

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Abstract

We investigate the polygamy relations of multipartite quantum states. General polygamy inequalities are given in the \(\alpha \)th \((\alpha \ge 2)\) power of concurrence of assistance, \(\beta \)th \((\beta \ge 1)\) power of entanglement of assistance, and the squared convex-roof extended negativity of assistance (SCRENoA).

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China(NSFC) under Grants 11847209; 11675113 and 11635009; Key Project of Beijing Municipal Commission of Education under No. KZ201810028042; the Ministry of Science and Technology of the Peoples’ Republic of China (2015CB856703); and the Strategic Priority Research Program of the Chinese Academy of Sciences, Grant No. XDB23030100.

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Authors and Affiliations

  1. School of Physics, University of Chinese Academy of Sciences, Yuquan Road 19A, Beijing, 100049, China

    Zhi-Xiang Jin & Cong-Feng Qiao

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

    Shao-Ming Fei

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

    Shao-Ming Fei

  4. CAS Center for Excellence in Particle Physics, Beijing, 100049, China

    Cong-Feng Qiao

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  1. Zhi-Xiang Jin
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  2. Shao-Ming Fei
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  3. Cong-Feng Qiao
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Correspondence to Zhi-Xiang Jin, Shao-Ming Fei or Cong-Feng Qiao.

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Jin, ZX., Fei, SM. & Qiao, CF. Polygamy relations of multipartite systems. Quantum Inf Process 18, 105 (2019). https://doi.org/10.1007/s11128-019-2220-y

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