Detection of multipartite entanglement with two-body correlations

Abstract

We show how to detect entanglement with criteria built from simple two-body correlation terms. Since many natural Hamiltonians are sums of such correlation terms, our ideas can be used to detect entanglement by energy measurement. Our criteria can straightforwardly be applied for detecting different forms of multipartite entanglement in familiar spin models in thermal equilibrium.

5 pages including 2 figures, LaTeX; for the proceedings of the DPG spring meeting, Berlin, March 2005

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• Minimal Entanglement Witness From Electrical Current Correlations
• Genuine tripartite entanglement in the non-interacting Fermi gas
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• Separability conditions based on local fine-grained uncertainty relations
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• Phase transitions, entanglement and quantum noise interferometry in cold atoms
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• Detect genuine multipartite entanglement in the one-dimensional transverse-field Ising model
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