中国物理B ›› 2023, Vol. 32 ›› Issue (12): 120303-120303.doi: 10.1088/1674-1056/acf300

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Parameterized monogamy and polygamy relations of multipartite entanglement

Zhong-Xi Shen(沈中喜)1,†, Ke-Ke Wang(王珂珂)1,‡, and Shao-Ming Fei(费少明)1,2,§   

  1. 1 School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;
    2 Max-Planck-Institute for Mathematics in the Sciences, Leipzig 04103, Germany
  • 收稿日期:2023-06-12 修回日期:2023-08-08 接受日期:2023-08-23 出版日期:2023-11-14 发布日期:2023-11-27
  • 通讯作者: Zhong-Xi Shen, Ke-Ke Wang, Shao-Ming Fei E-mail:18738951378@163.com;wangkk@cnu.edu.cn;feishm@cnu.edu.cn
  • 基金资助:
    This work was supported by the National Natural Science Foundation of China (Grant Nos.12075159 and 12171044), the Beijing Natural Science Foundation (Grant No.Z190005), and the Academician Innovation Platform of Hainan Province.

Parameterized monogamy and polygamy relations of multipartite entanglement

Zhong-Xi Shen(沈中喜)1,†, Ke-Ke Wang(王珂珂)1,‡, and Shao-Ming Fei(费少明)1,2,§   

  1. 1 School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;
    2 Max-Planck-Institute for Mathematics in the Sciences, Leipzig 04103, Germany
  • Received:2023-06-12 Revised:2023-08-08 Accepted:2023-08-23 Online:2023-11-14 Published:2023-11-27
  • Contact: Zhong-Xi Shen, Ke-Ke Wang, Shao-Ming Fei E-mail:18738951378@163.com;wangkk@cnu.edu.cn;feishm@cnu.edu.cn
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (Grant Nos.12075159 and 12171044), the Beijing Natural Science Foundation (Grant No.Z190005), and the Academician Innovation Platform of Hainan Province.

摘要: Monogamy and polygamy relations are important properties of entanglement, which characterize the entanglement distribution of multipartite systems. We explore monogamy and polygamy relations of entanglement in multipartite systems by using two newly derived parameterized mathematical inequalities, and establish classes of parameterized monogamy and polygamy relations of multiqubit entanglement in terms of concurrence and entanglement of formation. We show that these new parameterized monogamy and poelygamy inequalities are tighter than the existing ones by detailed examples.

关键词: monogamy, polygamy, concurrence, entanglement of formation

Abstract: Monogamy and polygamy relations are important properties of entanglement, which characterize the entanglement distribution of multipartite systems. We explore monogamy and polygamy relations of entanglement in multipartite systems by using two newly derived parameterized mathematical inequalities, and establish classes of parameterized monogamy and polygamy relations of multiqubit entanglement in terms of concurrence and entanglement of formation. We show that these new parameterized monogamy and poelygamy inequalities are tighter than the existing ones by detailed examples.

Key words: monogamy, polygamy, concurrence, entanglement of formation

中图分类号:  (Entanglement measures, witnesses, and other characterizations)

  • 03.67.Mn
03.65.Ud (Entanglement and quantum nonlocality) 03.67.-a (Quantum information)