Tighter monogamy relations in multiparty quantum systems

We investigate tight monogamy relations of multiparty quantum entanglement in this paper. First, we obtain a class of lower bounds of multiparty quantum systems for the quantum states satisfying constraints, which improve the previous results. Next, we establish a class of tighter monogamy relations in tripartite quantum systems by means of the new inequality; then, we generalize these relations to multiparty quantum systems. Furthermore, we also draw several conclusions for any multiparty quantum states and prove the tightness of the lower bounds. Detailed examples are provided at last.

Automated summary

In this paper, we investigate the tight monogamy relations of multiparty quantum entanglement. We propose a class of improved lower bounds for the quantum states of multiparty quantum systems that satisfy constraints. We establish tighter monogamy relations in tripartite quantum systems using a new inequality, and generalize these relations to multiparty quantum systems. Furthermore, we provide several conclusions for any multiparty quantum states and prove the tightness of the lower bounds. Detailed examples are also given.