Tight Correlation-Function Bell Inequality for Multipartite $d$-Dimensional System

Details Tight Correlation-Function Bell Inequality for Multipartite $d$-Dimensional System Tight Correlation-Function Bell Inequality for Multipartite $d$-Dimensional System

2008-09-10

arxiv.org/abs/0809.1713v2

Physics

Quantum Physics

4 pages; Accepted by PRA

Scientific paper

10.1103/PhysRevA.79.012111

We generalize the correlation functions of the Clauser-Horne-Shimony-Holt (CHSH) inequality to multipartite d-dimensional systems. All the Bell inequalities based on this generalization take the same simple form as the CHSH inequality. For small systems, numerical results show that the new inequalities are tight and we believe this is also valid for higher dimensional systems. Moreover, the new inequalities are relevant to the previous ones and for bipartite system, our inequality is equivalent to the Collins-Gisin-Linden-Masser-Popescu (CGLMP) inequality.

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