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Phys Rev Lett. 2014 Dec 31;113(26):260502. doi: 10.1103/PhysRevLett.113.260502. Epub 2014 Dec 24.

Structural quantification of entanglement.

Physical review letters

F Shahandeh, J Sperling, W Vogel

Affiliations

  1. Arbeitsgruppe Theoretische Quantenoptik, Institut für Physik, Universität Rostock, D-18055 Rostock, Germany.

PMID: 25615292 DOI: 10.1103/PhysRevLett.113.260502

Abstract

We introduce an approach which allows a full structural and quantitative analysis of multipartite entanglement. The sets of states with different structures are convex and nested. Hence, they can be distinguished from each other using appropriate measurable witnesses. We derive equations for the construction of optimal witnesses and discuss general properties arising from our approach. As an example, we formulate witnesses for a 4-cluster state and perform a full quantitative analysis of the entanglement structure in the presence of noise and losses. The strength of the method in multimode continuous variable systems is also demonstrated for a dephased Greenberger-Horne-Zeilinger-type state.

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