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Chin. Phys. B, 2020, Vol. 29(7): 070304    DOI: 10.1088/1674-1056/ab8e2e
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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 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
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.
Keywords:  monogamy relations      polygamy relations      Rényi-α entropy      Hamming weight  
Received:  14 March 2020      Revised:  20 April 2020      Accepted manuscript online: 
PACS:  03.67.Mn (Entanglement measures, witnesses, and other characterizations)  
  03.65.Ud (Entanglement and quantum nonlocality)  
  03.65.Yz (Decoherence; open systems; quantum statistical methods)  
Fund: 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).
Corresponding Authors:  Bo Li     E-mail:  libobeijing2008@163.com

Cite this article: 

Meng-Li Guo(郭梦丽), Bo Li(李波), Zhi-Xi Wang(王志玺), Shao-Ming Fei(费少明) Tighter constraints of multiqubit entanglementin terms of Rényi-α entropy 2020 Chin. Phys. B 29 070304

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