Complementary monogamy and polygamy properties among multipartite systems  

作　　者：李陶 周静怡 孙琪 靳志祥 梁登峰 罗婷 Tao Li;Jing-Yi Zhou;Qi Sun;Zhi-Xiang Jin;Deng-Feng Liang;Ting Luo(School of Mathematics and Statistics,Beijing Technology and Business University,Beijing 100048,China;School of Computer Science and Techonology,Dongguan University of Technology,Dongguan 523808,China;People's Public Security University of China,Academy of Information Network Security,Beijing 100038,China)

机构地区：[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 [3]People's Public Security University of China,Academy of Information Network Security,Beijing 100038,China

出　　处：《Chinese Physics B》2024年第3期207-213,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.12175147);the Disciplinary Funding of Beijing Technology and Business University,the Fundamental Research Funds for the Central Universities(Grant No.2022JKF02015);the Research and Development Program of Beijing Municipal Education Commission(Grant No.KM202310011012).

摘　　要：Monogamy and polygamy relations are essential properties of quantum entanglement,which characterize the distributions of entanglement in multipartite systems.In this paper,we establish the general monogamy relations forγ-th(0≤γ≤α,α≥1)power of quantum entanglement based on unified-(q,s)entanglement and polygamy relations forδ-th(δ≥β,0≤β≤1)power of entanglement of assistance based on unified-(q,s)entanglement of assistance,which provides a complement to the previous research in terms of different parameter regions ofγandδ.These results are then applied to specific quantum correlations,e.g.,entanglement of formation,Renyi-q entanglement of assistance and Tsallis-q entanglement of assistance to get the corresponding monogamy and polygamy inequalities.Moreover,typical examples are presented for illustration.

关 键 词：monogamy relation polygramy relation 

分 类 号：O413[理学—理论物理]