Multipartite positive-partial-transpose inequalities exponentially stronger than local reality inequalities

Abstract

We show that positivity of {\it every} partial transpose of $N$-partite quantum states implies new inequalities on Bell correlations which are stronger than standard Bell inequalities by a factor of $2^{(N-1)/2}$. A violation of the inequality implies the system is in a bipartite distillable entangled state. It turns out that a family of $N$-qubit bound entangled states proposed by Dür {[Phys. Rev. Lett. {\bf 87}, 230402 (2001)]} violates the inequality for $N\ge 4$.

arXiv comment4 pages, To appear in Phys. Rev. A

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Cited by in corpus (2)

• Creating multiphoton-polarization bound-entangled states
• Multipartite bound entanglement and multi-setting Bell inequalities