Weighted polygamy inequalities of multiparty q-expected quantum entanglement

Based on q -expected entanglement measure for q ⩾ 1 , we generalize the polygamy inequality for multiparty entanglement in arbitrary-dimensional quantum systems. By using the β th-power of the q -expected entanglement of assistance for 0 ⩽ β ⩽ 1 and the Hamming weight of the binary vector related with the distribution of subsystems, a class of weighted polygamy inequalities in arbitrary-dimensional quantum systems is established. We further demonstrate that our class of weighted polygamy inequalities can be improved even into tighter inequalities, under some conditions, with auxiliary entanglement in bipartite subsystems. Our results may provide new ideas for studying the polygamy constraints of multiparty entanglement and better characterizing the entanglement distribution.