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Strong polygamy and monogamy relations for multipartite quantum systems

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Abstract

Monogamy and polygamy are the most striking features of the quantum world. We investigate the monogamy and polygamy relations satisfied by all quantum correlation measures for arbitrary multipartite quantum states. By introducing residual quantum correlations, analytical polygamy inequalities are presented, which are shown to be tighter than the existing ones. Then, similar to polygamy relations, we obtain strong monogamy relations that are better than all the existing ones. Typical examples are presented for illustration.

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Acknowledgements

This work is supported by the NSF of China under Grant Nos. 11847209 and 11675113; the Key Project of Beijing Municipal Commission of Education (Grant No. KZ201810028042); Beijing Natural Science Foundation (Grant No. Z190005); and China Postdoctoral Science Foundation Funded Project.

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Correspondence to Zhi-Xiang Jin or Shao-Ming Fei.

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Jin, Z., Fei, S. Strong polygamy and monogamy relations for multipartite quantum systems. Quantum Inf Process 19, 45 (2020) doi:10.1007/s11128-019-2540-y

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Keywords

  • Polygamy relation
  • Monogamy relation
  • Multipartite systems
  • Residual quantum correlation