General monogamy relation of multiqubit systems in terms of squared Renyi-alpha entanglement

摘要

We prove that the squared Renyi-alpha entanglement (SR alpha E), which is the generalization of entanglement of formation, obeys a general monogamy inequality in an arbitrary N-qubit mixed state. Furthermore, for a class of Renyi-alpha entanglement, we prove that the monogamy relations of the SR alpha E have a hierarchical structure when the N-qubit system is divided into k parties. As a by-product, the analytical relation between the Renyi-alpha entanglement and the squared concurrence is derived for bipartite 2 circle times d systems. Based on the monogamy properties of SR alpha E, we can construct the corresponding multipartite entanglement indicators, which still work well even when the indicators based on the squared concurrence and EOF lose their efficacy. In addition, the monogamy property of the mu th power of Renyi-alpha entanglement is analyzed.