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Bell’s inequalities and distillability in N-quantum-bit systems

Published in Physical Review. A. 2002, vol. 66, no. 4
Abstract The relation between Bell inequalities with two two-outcome measurements per site and distillability is analyzed in systems of an arbitrary number of quantum bits. We observe that the violation of any of these inequalities by a quantum state implies that pure-state entanglement can be distilled from it. The corresponding distillation protocol may require that some of the parties join into several groups. We show that there exists a link between the amount of the Bell inequality violation and the size of the groups they have to form for distillation. Thus, a strong violation is always sufficient for full N-partite distillability. This result also allows for a security proof of multi-partite quantum key distribution (QKD) protocols.
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ACIN, Antonio, SCARANI, Valerio, WOLF, Michael. Bell’s inequalities and distillability in N-quantum-bit systems. In: Physical Review. A, 2002, vol. 66, n° 4. https://archive-ouverte.unige.ch/unige:47351

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Deposited on : 2015-02-27

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