Evaluable multipartite entanglement measures: are multipartite concurrences entanglement monotones?

Abstract

We discuss the monotonicity under local operations and classical communication (LOCC) of systematically constructed quantities aiming at quantification of entanglement properties of multipartite quantum systems. The so-called generalized multipartite concurrences can qualify as legitimate entanglement measures if they are monotonous under LOCC. In the paper we give a necessary and sufficient criterion for their monotonicity.

7 pages, 1 figure, minor changes - clarity of proofs improved

References in corpus (1)

• Measuring Multipartite Concurrence with a Single Factorizable Observable

Cited by in corpus (6)

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• Multipartite entanglement measure for all discrete systems
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• Entanglement measures as physical observables
• Compatibility conditions from multipartite entanglement measures