Polygamy Inequalities for Qubit Systems

Abstract

Entanglement polygamy, like entanglement monogamy, is a fundamental property of multipartite quantum states. We investigate the polygamy relations related to the concurrence $C$ and the entanglement of formation $E$ for general $n$-qubit states. We extend the results in [Phys. Rev. A 90, 024304 (2014)] from the parameter region $\alpha \le 0$ to $\alpha \le {\alpha }_0$, where $0<{\alpha }_0\le 2$ for $C$, and $0<{\alpha }_0\le \sqrt{2}$ for $E$.