Multipartite entanglement measures: a review

Abstract

Quantum entanglement, a fundamental aspect of quantum mechanics, has captured significant attention in the era of quantum information science. In multipartite quantum systems, entanglement plays a crucial role in facilitating various quantum information processing tasks, such as quantum teleportation and dense coding. In this article, we review the theory of multipartite entanglement measures, with a particular focus on the genuine as well as the operational meaning of multipartite entanglement measures. By providing a thorough and valuable insight on this field, we hope that this review would inspire and guide researchers in their endeavors to further develop novel approaches for characterizing multipartite entanglement.

Invited review, 15 pages, 2 figures, 80 references; close to the published version

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• Measure of multipartite entanglement with computable lower bounds
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• Generalized Monogamy Relations of Concurrence for N-qubit Systems
• Limitations on Quantum Key Repeaters
• Multipartite Entanglement Measure and Complete Monogamy Relation
• Geometric mean of bipartite concurrences as a genuine multipartite entanglement measure
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• Estimate distillable entanglement and quantum capacity by squeezing useless entanglement
• Managing the Three-Party Entanglement Challenge
• Seven definitions of bipartite bound entanglement

Cited by in corpus (11)

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• Multipartite entanglement structures in quantum stabilizer states
• A Sharp Geometric Measure of Entanglement
• Entanglement of Assistance as a measure of multiparty entanglement
• Measuring entanglement along collective operators
• Robust Tripartite Entanglement Generation via Correlated Noise in Spin Qubits
• Tripartite Entanglement in Multimode Cavity Quantum Electrodynamics
• Inter-qubit correlation dynamics driven by mutual interactions
• Additivity of disjoint interval entanglement in quasiparticle excited states