中国物理B ›› 2020, Vol. 29 ›› Issue (7): 70304-070304.doi: 10.1088/1674-1056/ab8e2e

• GENERAL • 上一篇    下一篇

Tighter constraints of multiqubit entanglementin terms of Rényi-α entropy

Meng-Li Guo(郭梦丽), Bo Li(李波), Zhi-Xi Wang(王志玺), Shao-Ming Fei(费少明)   

  1. 1 Department of Mathematics, East China University of Technology, Nanchang 330013, China;
    2 School of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, China;
    3 School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;
    4 Max-Planck-Institute for Mathematics in the Sciences, 04103, Leipzig, Germany
  • 收稿日期:2020-03-14 修回日期:2020-04-20 出版日期:2020-07-05 发布日期:2020-07-05
  • 通讯作者: Bo Li E-mail:libobeijing2008@163.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11765016 and 11675113), the Natural Science Foundation of Beijing, China (Grant No. KZ201810028042), and Beijing Natural Science Foundation, China (Grant No. Z190005).

Tighter constraints of multiqubit entanglementin terms of Rényi-α entropy

Meng-Li Guo(郭梦丽)1, Bo Li(李波)2, Zhi-Xi Wang(王志玺)3, Shao-Ming Fei(费少明)3,4   

  1. 1 Department of Mathematics, East China University of Technology, Nanchang 330013, China;
    2 School of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, China;
    3 School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;
    4 Max-Planck-Institute for Mathematics in the Sciences, 04103, Leipzig, Germany
  • Received:2020-03-14 Revised:2020-04-20 Online:2020-07-05 Published:2020-07-05
  • Contact: Bo Li E-mail:libobeijing2008@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11765016 and 11675113), the Natural Science Foundation of Beijing, China (Grant No. KZ201810028042), and Beijing Natural Science Foundation, China (Grant No. Z190005).

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摘要： Quantum entanglement plays essential roles in quantum information processing. The monogamy and polygamy relations characterize the entanglement distributions in the multipartite systems. We present a class of monogamy inequalities related to the μ-th power of the entanglement measure based on Rényi-α entropy, as well as polygamy relations in terms of the μ-th power of Rényi-α entanglement of assistance. These monogamy and polygamy relations are shown to be tighter than the existing ones.

关键词: monogamy relations, polygamy relations, Rényi-α entropy, Hamming weight

Abstract: Quantum entanglement plays essential roles in quantum information processing. The monogamy and polygamy relations characterize the entanglement distributions in the multipartite systems. We present a class of monogamy inequalities related to the μ-th power of the entanglement measure based on Rényi-α entropy, as well as polygamy relations in terms of the μ-th power of Rényi-α entanglement of assistance. These monogamy and polygamy relations are shown to be tighter than the existing ones.

Key words: monogamy relations, polygamy relations, Rényi-α entropy, Hamming weight

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

  • 03.67.Mn
03.65.Ud (Entanglement and quantum nonlocality) 03.65.Yz (Decoherence; open systems; quantum statistical methods)