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Chin. Phys. B, 2023, Vol. 32(3): 030304    DOI: 10.1088/1674-1056/aca399
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Unified entropy entanglement with tighter constraints on multipartite systems

Qi Sun(孙琪)1, Tao Li(李陶)1,†, Zhi-Xiang Jin(靳志祥)2,‡, and Deng-Feng Liang(梁登峰)1
1 School of Mathematics and Statistics, Beijing Technology and Business University, Beijing 100048, China;
2 School of Computer Science and Techonology, Dongguan University of Technology, Dongguan 523808, China
Abstract  Monogamy and polygamy relations characterize the distributions of entanglement in multipartite systems. We provide a characterization of multiqubit entanglement constraints in terms of unified-$(q,s)$ entropy. A class of tighter monogamy inequalities of multiqubit entanglement based on the $\alpha$-th power of unified-$(q,s)$ entanglement for $\alpha\geq 1$ and a class of polygamy inequalities in terms of the $\beta$-th power of unified-$(q,s)$ entanglement of assistance are established in this paper. Our results present a general class of the monogamy and polygamy relations for bipartite entanglement measures based on unified-$(q,s)$ entropy, which are tighter than the existing ones. What is more, some usual monogamy and polygamy relations, such as monogamy and polygamy relations based on entanglement of formation, Renyi-$q$ entanglement of assistance and Tsallis-$q$ entanglement of assistance, can be obtained from these results by choosing appropriate parameters $(q,s)$ in unified-$(q,s)$ entropy entanglement. Typical examples are also presented for illustration.
Keywords:  entanglement      monogamy relations      polygamy relations  
Received:  22 September 2022      Revised:  15 November 2022      Accepted manuscript online:  17 November 2022
PACS:  03.67.Mn (Entanglement measures, witnesses, and other characterizations)  
  03.65.Ud (Entanglement and quantum nonlocality)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12175147, 11847209, and 11675113), the Natural Science Foundation of Beijing (Grant No. KZ201810028042), and Beijing Natural Science Foundation (Grant No. Z190005).
Corresponding Authors:  Tao Li, Zhi-Xiang Jin     E-mail:;

Cite this article: 

Qi Sun(孙琪), Tao Li(李陶), Zhi-Xiang Jin(靳志祥), and Deng-Feng Liang(梁登峰) Unified entropy entanglement with tighter constraints on multipartite systems 2023 Chin. Phys. B 32 030304

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