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Tighter Monogamy Relations for Concurrence and Negativity in Multiqubit Systems

Author

Listed:
  • Yuan-Hong Tao

    (School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China)

  • Kai Zheng

    (Changzhou College of Information Technology, Changzhou 213164, China)

  • Zhi-Xiang Jin

    (School of Computer Science and Technology, Dongguan University of Technology, Dongguan 523808, China)

  • Shao-Ming Fei

    (School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
    Max-Planck-Institute for Mathematics in the Sciences, 04103 Leipzig, Germany)

Abstract

The entanglement in multipartite quantum system is hard to characterize and quantify, although it has been intensively studied in bipartite systems. The monogamy of entanglement, as a special property of multipartite systems, shows the distribution of entanglement in the system. In this paper, we investigate the monogamy relations for multi-qubit systems. By using two entangled measures, namely the concurrence C and the negativity N c , we establish tighter monogamy inequalities for their α -th power than those in all the existing ones. We also illustrate the tightness of our results for some classes of quantum states.

Suggested Citation

  • Yuan-Hong Tao & Kai Zheng & Zhi-Xiang Jin & Shao-Ming Fei, 2023. "Tighter Monogamy Relations for Concurrence and Negativity in Multiqubit Systems," Mathematics, MDPI, vol. 11(5), pages 1-10, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1159-:d:1081232
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