Multipartite Entanglement Measure

Abstract

In this paper, we generalize the residual entanglement to the case of multipartite states in arbitrary dimensions by making use of a new method. Through the introduction of a special entanglement measure, the residual entanglement of mixed states takes on a form that is more elegant than that in Ref.[7] (Phys.Rev.A 61 (2000) 052306) . The result obtained in this paper is different from the previous one given in Ref.[8] (Phys.Rev.A 63 (2000) 044301). Several examples demonstrate that our present result is a good measurement of the multipartite entanglement. Furthermore, the original residual entanglement is a special case of our result.

5 pages

References in corpus (7)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Distributed Entanglement
• Universal state inversion and concurrence in arbitrary dimensions
• Fidelity and Concurrence of conjugated states
• A potential multipartide entanglement measure
• Concurrence of mixed bipartite quantum states in arbitrary dimensions
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Cited by in corpus (22)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Violation of monogamy inequality for higher-dimensional objects
• Multipartite entangled states in particle mixing
• Entanglement monogamy and entanglement evolution in multipartite systems
• Evolution equation of entanglement for general bipartite systems
• General monogamy relation of multi-qubit systems in terms of squared Rényi-$\alpha$ entanglement
• Concurrence vs. purity: Influence of local channels on Bell states of two qubits
• Hierarchical monogamy relations for the squared entanglement of formation in multipartite systems
• Entanglement in extended Hubbard models and quantum phase transitions
• Separability Criterion of Tripartite Qubit Systems
• The SLOCC invariant and the residual entanglement for n-qubits
• Global Entanglement for Multipartite Quantum States
• Multi-Body Entanglement and Information Rearrangement in Nuclear Many-Body Systems
• Entanglement sharing: from qubits to Gaussian states
• The n-tangle of odd n qubits
• Tripartite entanglement measure under local operations and classical communication
• Entanglement in a class of multiqubit mixed states without multipartite tangles
• An entanglement measure for n-qubits
• Monogamy relations and upper bounds for the generalized $W$-class states using Rényi-$\alpha$ entropy
• Monogamy Inequality and Residual Entanglement of Three Qubits under Decoherence
• The criterion for maximally entangled four-qubit state
• Monogamy inequalities of entanglement of assistance in $2\otimes 2\otimes d$ systems