Separability criteria and entanglement witnesses for symmetric quantum states

Abstract

We study the separability of symmetric bipartite quantum states and show that a single correlation measurement is sufficient to detect the entanglement of any bipartite symmetric state with a non-positive partial transpose. We also discuss entanglement conditions and entanglement witnesses for states with a positive partial transpose.

5 pages, no figures, LaTeX; v2: typos corrected, introduction extended; v3: small corrections, published version; for the proceedings of the DPG spring meeting, Hamburg, March 2009

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