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Violation of Bell's inequalities implies distillability for N qubits

A. Acin, V. Scarani, M.M. Wolf

J. Phys. A: Math. Gen. 36, L21 **, (2003)

DOI: 10.1088/0305-4470/36/2/101 Pfeil
*arXiv.org*: quant-ph/0112102 Pfeil

Abstract: We consider quantum systems composed of $N$ qubits, and the family of all Bell's correlation inequalities for two two-valued measurements per site. We show that if a $N$-qubit state $\rho$ violates any of these inequalities, then it is at least bipartite distillable. Indeed there exists a link between the amount of Bell's inequality violation and the degree of distillability. Thus, we strengthen the interpretation of Bell's inequalities as detectors of useful entanglement.