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

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

2007-07-18

arxiv.org/abs/0707.2809v1

Phys. Rev. A 76, 024101 (2007)

Physics

Quantum Physics

4 pages, To appear in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.76.024101

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 D\"ur {[Phys. Rev. Lett. {\bf 87}, 230402 (2001)]} violates the inequality for $N\geq 4$.

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