Unified entropy entanglement with tighter constraints on multipartite systems  

作　　者：孙琪 李陶 靳志祥 梁登峰 Qi Sun;Tao Li;Zhi-Xiang Jin;Deng-Feng Liang(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)

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

出　　处：《Chinese Physics B》2023年第3期96-101,共6页中国物理B（英文版）

基　　金：the National Natural Science Foundation of China(Grant Nos.12175147,11847209,and 11675113);the Natural Science Foundation of Beijing(Grant No.KZ201810028042);Beijing Natural Science Foundation(Grant No.Z190005).

摘　　要：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 theα-th power of unified-(q,s)entanglement forα≥1 and a class of polygamy inequalities in terms of theβ-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.

关 键 词：ENTANGLEMENT monogamy relations polygamy relations 

分 类 号：O413[理学—理论物理]