A New Parameterized Monogamy Relation between Entanglement and Equality

A generalized definition of the monogamy relation for entanglement measures is provided. A monogamy equality rather than the usual inequality is presented based on the monogamy weight, from which monogamy relations are given satisfied by the alpha th (alpha>0)$(\alpha >0)$ power of the entanglement measures. Taking concurrence as an example, the significance and advantages of these relations are further demonstrated. In addition, it is shown that monogamy relations can be recovered by considering multiple copies of states for every non-additive entanglement measure that violates the inequalities. It is also demonstrated that such relations for tripartite states can be generalized to multipartite systems.

Automated summary

A generalized definition of monogamy relation for entanglement measures is provided, and a monogamy equality is presented based on the monogamy weight. The significance and advantages of these relations are further demonstrated using concurrence as an example. It is shown that monogamy relations can be recovered by considering multiple copies of states for every non-additive entanglement measure that violates the inequalities. Additionally, it is demonstrated that such relations for tripartite states can be generalized to multipartite systems.