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

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Cited by in corpus (15)

• A classification of entanglement in three-qubit systems
• Multipartite entangled states in particle mixing
• Entanglement Monogamy of Tripartite Quantum States
• Bipartite concurrence and localized coherence
• Entangled spin clusters: some special features
• Thermal entanglement witness for materials with variable local spin lengths
• Genuine tripartite entanglement monotone of $(2\otimes 2\otimes n)-$ dimensional systems
• Quantifying entanglement of arbitrary-dimensional multipartite pure states in terms of the singular values of coefficient matrices
• Monogamy Inequality and Residual Entanglement of Three Qubits under Decoherence
• Evaluation of two different entanglement measures on a bound entangled state
• The quantum separability problem is a simultaneous hollowisation matrix analysis problem
• Full separability criterion for tripartite quantum systems
• Relation between phase space coverage and entanglement for spin-1/2 systems
• Entanglement and Irreversibility in the Approach to Thermal Equilibrium
• Disappearance of measurement-induced phase transition in a quantum spin system for large sizes