Bell inequality with an arbitrary number of settings and its applications

Details Bell inequality with an arbitrary number of settings and its applications Bell inequality with an arbitrary number of settings and its applications

2006-01-17

arxiv.org/abs/quant-ph/0601107v2

Phys. Rev. A 74, 062109 (2006)

Physics

Quantum Physics

8 pages, To appear in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.74.062109

Based on a geometrical argument introduced by Zukowski, a new multisetting Bell inequality is derived, for the scenario in which many parties make measurements on two-level systems. This generalizes and unifies some previous results. Moreover, a necessary and sufficient condition for the violation of this inequality is presented. It turns out that the class of non-separable states which do not admit local realistic description is extended when compared to the two-setting inequalities. However, supporting the conjecture of Peres, quantum states with positive partial transposes with respect to all subsystems do not violate the inequality. Additionally, we follow a general link between Bell inequalities and communication complexity problems, and present a quantum protocol linked with the inequality, which outperforms the best classical protocol.

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