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

Antonio Acín, Valerio Scarani, Michael M. Wolf

Research output: Contribution to journalArticlepeer-review


The relation between Bell’s 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 multipartite quantum key distribution protocols.

Original languageEnglish
Pages (from-to)12
Number of pages1
JournalPhysical Review A
Issue number4
StatePublished - 2002
Externally publishedYes


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