Monogamy and polygamy relations are important properties of entanglement,which characterize the entanglement distribution of multipartite systems.We explore monogamy and polygamy relations of entanglement in multipart...Monogamy and polygamy relations are important properties of entanglement,which characterize the entanglement distribution of multipartite systems.We explore monogamy and polygamy relations of entanglement in multipartite systems by using two newly derived parameterized mathematical inequalities,and establish classes of parameterized monogamy and polygamy relations of multiqubit entanglement in terms of concurrence and entanglement of formation.We show that these new parameterized monogamy and poelygamy inequalities are tighter than the existing ones by detailed examples.展开更多
基金supported by the National Key Research and Development Program of China(2020YFA0309300)the Natural Science Foundation of Tianjin(20JCZDJC00560 and 20JCJQJC00210)+2 种基金the National Natural Science Foundation of China(NSFC,11974191 and 12127803)the 111 Project(B07013)the“Fundamental Research Funds for the Central Universities”,Nankai University(91923139,63213040,C029211101,C02922101,and ZB22000104)。
基金supported by the National Natural Science Foundation of China (Grant Nos.12075159 and 12171044)the Beijing Natural Science Foundation (Grant No.Z190005)the Academician Innovation Platform of Hainan Province。
文摘Monogamy and polygamy relations are important properties of entanglement,which characterize the entanglement distribution of multipartite systems.We explore monogamy and polygamy relations of entanglement in multipartite systems by using two newly derived parameterized mathematical inequalities,and establish classes of parameterized monogamy and polygamy relations of multiqubit entanglement in terms of concurrence and entanglement of formation.We show that these new parameterized monogamy and poelygamy inequalities are tighter than the existing ones by detailed examples.