Violation of Bell s inequalities and distillability for<i>N</i>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.

Locations

• Journal of Physics A Mathematical and General - View
• arXiv (Cornell University) - View - PDF
• DataCite API - View