Global Entanglement for Multipartite Quantum States

Abstract

Based on the residual entanglement [9] (Phys. Rev. A \textbf{71}, 044301 (2005)), we present the global entanglement for a multipartite quantum state. The measure is shown to be also obtained by the bipartite partitions of the multipartite state. The distinct characteristic of the global entanglement is that it consists of the sum of different entanglement contributions. The measure can provide sufficient and necessary condition of fully separability for pure states and be conveniently extended to mixed states by minimizing the convex hull. To test the sufficiency of the measure for mixed states, we evaluate the global entanglement of bound entangled states. The properties of the measure discussed finally show the global entanglement is an entanglement monotone.

6 pages

References in corpus (1)

• Multipartite Entanglement Measure

Cited by in corpus (9)

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• Genuine tripartite entanglement monotone of $(2\otimes 2\otimes n)-$ dimensional systems
• Monogamy Inequality and Residual Entanglement of Three Qubits under Decoherence
• Relation between phase space coverage and entanglement for spin-1/2 systems
• Full separability criterion for tripartite quantum systems