Violation of Bell's inequalities implies distillability for N qubits

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.

6 pages, 3 figures, REVTEX. List of authors extended. Partially rewritten, a rather qualitative explanation of the results. Conclusions unchanged

References in corpus (9)

• Simulating Physical Phenomena by Quantum Networks
• Entangled light from white noise
• Entanglement versus Bell violations and their behaviour under local filtering operations
• Quantum communication complexity protocol with two entangled qutrits
• Multipartite bound entangled states that violate Bell's inequality
• Generalized non-additive entropies and quantum entanglement
• Quantum Key Distribution between N partners: optimal eavesdropping and Bell's inequalities
• Distillability, Bell inequalities and multiparticle bound entanglement
• Activating NPPT distillation with an infinitesimal amount of bound entanglement

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• Gisin's Theorem for Arbitrary Dimensional Multipartite States
• Teleportation capability, distillability, and nonlocality on three-qubit states
• A Witness of Multipartite Entanglement Strata
• Any multipartite entangled state violating Mermin-Klyshko inequality can be distilled for almost all bipartite splits
• From Quantum State Targeting to Bell Inequalities