Unified monogamy relations for the generalized W-class states beyond qubits  

作　　者：Zhong-Xi Shen Wen Zhou Dong-Ping Xuan Zhi-Xi Wang Shao-Ming Fei 

机构地区：[1]School of Mathematical Sciences,Capital Normal University,Beijing 100048,China

出　　处：《Communications in Theoretical Physics》2025年第2期70-80,共11页理论物理通讯(英文版)

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.12075159 and 12171044;the specific research fund of the Innovation Platform for Academicians of Hainan Province。

摘　　要：The monogamy of entanglement stands as an indispensable feature within multipartite quantum systems.We study monogamy relations with respect to any partitions for the generalized W-class(GW)states based on the unified-(q,s)entanglement(UE).We provide the monogamy relation based on the squared UE for a reduced density matrix of a qudit GW state,as well as tighter monogamy relations based on theαth(α≥2)power of UE.Furthermore,for an n-qudit system ABC_(1)...C_(n-2),a generalized monogamy relation and an upper bound satisfied by theβth(0≤β≤1)power of the UE for the GW states under the partition AB and C_(1)...C_(n-2) are established.In particular,two partition-dependent residual entanglements for the GW states are analyzed in detail.

关 键 词：monogamy of entanglement unified-(q s)entanglement generalized W-class state 

分 类 号：O41[理学—理论物理]