Abstract
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.
基金项目
National Natural Science Foundation of China(12175147)
National Natural Science Foundation of China(12075205)
National Natural Science Foundation of China(T2121001)
Zhejiang Provincial Natural Science Foundation of China(Z24A050006)
维普
万方数据