Genuine Tripartite Entanglement in a Spin-Star Network at Thermal Equilibrium

Abstract

In a recent paper [M. Huber et al, Phys. Rev. Lett. 104, 210501 (2010)] new criteria to find out the presence of multipartite entanglement have been given. We exploit these tools in order to study thermal entanglement in a spin-star network made of three peripheral spins interacting with a central one. Genuine tripartite entanglement is found in a wide range of the relevant parameters. A comparison between predictions based on the new criteria and on the tripartite negativity is also given.

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