Monogamy and polygamy for the generalized W-class states using unified-(q,s)entropy  

作　　者：Bo Li Bing Xie Zhanjun Zhang Heng Fan 

机构地区：[1]School of Computer and Computing Science,Hangzhou City University,Hangzhou 310015,China [2]Department of Mathematics,East China University of Technology,Nanchang 330013,China [3]School of Information&Electronic Engineering(Sussex Artificial Intelligence Institute),Zhejiang Gongshang University,Hangzhou 310018,China [4]Institute of Physics,Chinese Academy of Sciences,Beijing 100190,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2024年第1期10-22,共13页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.12175147,12075205,and T2121001);Zhejiang Provincial Natural Science Foundation of China(Grant No.Z24A050006)。

摘　　要：We describe the entanglement distribution and restricted shareability of the multipartite generalized W-class states and their reduced density matrix under arbitrary partitions by using monogamy and polygamy relation based on the unified-(q,s)entropy.Firstly,we provide an analytical formula of unified-(q,s)entanglement(UE)and an analytical lower bound of unified-(q,s)entanglement of assistance(UEo A)for a reduced density matrix of a generalized W-class state.Then,we use these two analytical formulas to derive the monogamy and polygamy inequalities for a reduced density matrix of a qudit generalized W-class(GW)state.We establish two partition-dependent residual entanglements based on the new monogamy relation,which is helpful to obtain a comprehensive analysis of entanglement dynamics of generalized W-class states.Further,we investigate tighter monogamy and polygamy relations based on the power ofαth(α≥0)for UE andβth(β≥0)for UEo A,respectively.The results show that the entanglement distribution characteristics of generalized W-class states satisfying stronger constraints can be described more accurately.

关 键 词：MONOGAMY POLYGAMY multiqudit unified entropy 

分 类 号：O413[理学—理论物理]