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 $E$.

9 pages,4 figures. arXiv admin note: text overlap with arXiv:1812.01134

References in corpus (12)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Concurrence of arbitrary dimensional bipartite quantum states
• Optimal entanglement criterion for mixed quantum states
• Entanglement monogamy relations of qubit systems
• Duality for monogamy of entanglement
• Lower bounds on concurrence and separability conditions
• Optimal entanglement witnesses based on local orthogonal observables
• Tighter monogamy relations in multipartite systems
• Entanglement Monogamy of Tripartite Quantum States
• General polygamy inequality of multi-party quantum entanglement
• Weighted polygamy inequalities of multiparty entanglement in arbitrary dimensional quantum systems
• Any entanglement of assistance is polygamous

Cited by in corpus (1)

• Tightening monogamy and polygamy relations of unified entanglement in multipartite systems