Monogamy and polygamy relations of multiqubit entanglement based on unified entropy

被引:6
|
作者
Jin, Zhi-Xiang [1 ]
Qiao, Cong-Feng [1 ,2 ]
机构
[1] Univ Chinese Acad Sci, Sch Phys, Beijing 100049, Peoples R China
[2] CAS Ctr Excellence Particle Phys, Beijing 100049, Peoples R China
基金
中国博士后科学基金; 中国国家自然科学基金;
关键词
quantum monogamy; quantum polygamy; unified entropy;
D O I
10.1088/1674-1056/ab6720
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Monogamy relation is one of the essential properties of quantum entanglement, which characterizes the distribution of entanglement in a multipartite system. By virtual of the unified-(q, s) entropy, we obtain some novel monogamy and polygamy inequalities in general class of entanglement measures. For the multiqubit system, a class of tighter monogamy relations are established in term of the alpha-th power of unified-(q, s) entanglement for alpha >= 1. We also obtain a class of tighter polygamy relations in the beta-th (0 <= beta <= 1) power of unified-(q, s) entanglement of assistance. Applying these results to specific quantum correlations, e.g., entanglement of formation, Renyi-q entanglement of assistance, and Tsallis-q entanglement of assistance, we obtain the corresponding monogamy and polygamy relations. Typical examples are presented for illustration. Furthermore, the complementary monogamy and polygamy relations are investigated for the alpha-th (0 <= alpha <= 1) and beta-th (beta >= 1) powers of unified entropy, respectively, and the corresponding monogamy and polygamy inequalities are obtained.
引用
收藏
页数:8
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