首页|Monogamy and polygamy for the generalized W-class states using unified-(q,s)entropy
Monogamy and polygamy for the generalized W-class states using unified-(q,s)entropy
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We describe the entanglement distribution and restricted shareability of the multipartite generalized W-class states and their re-duced density matrix under arbitrary partitionsby 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)en-tanglement of assistance(UEoA)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 ob-tain a comprehensive analysis of entanglement dynamics of generalized W-class states.Further,we investigate tighter monogamy and polygamy relations based on the power of αth(α ≥ 0)for UE and βth(β ≥ 0)for UEoA,respectively.The results show that the entanglement distribution characteristics of generalized W-class states satisfying stronger constraints can be described more accurately.
monogamypolygamymultiquditunified entropy
Bo Li、Bing Xie、Zhanjun Zhang、Heng Fan
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School of Computer and Computing Science,Hangzhou City University,Hangzhou 310015,China
Department of Mathematics,East China University of Technology,Nanchang 330013,China
School of Information & Electronic Engineering(Sussex Artificial Intelligence Institute),Zhejiang Gongshang University,Hangzhou 310018,China
Institute of Physics,Chinese Academy of Sciences,Beijing 100190,China
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National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaZhejiang Provincial Natural Science Foundation of China
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