Monogamy of $\alpha$th Power Entanglement Measurement in Qubit Systems

Abstract

In this paper, we study the $\alpha$th power monogamy properties related to the entanglement measure in bipartite states. The monogamy relations related to the $\alpha$th power of negativity and the Convex- Roof Extended Negativity are obtained for N-qubit states. We also give a tighter bound of hierarchical monogamy inequality for the entanglement of formation. We find that the GHZ state and W state can be used to distinguish the $\alpha$th power the concurrence for $0<\alpha <2$. Furthermore, we compare concurrence with negativity in terms of monogamy property and investigate the difference between them.

6 pages, 2 figures

References in corpus (3)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Optimal Cloning and Singlet Monogamy
• Hierarchical monogamy relations for the squared entanglement of formation in multipartite systems

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• Any entanglement of assistance is polygamous
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