Bell inequalities for arbitrarily high dimensional systems

Details Bell inequalities for arbitrarily high dimensional systems Bell inequalities for arbitrarily high dimensional systems

2001-06-05

arxiv.org/abs/quant-ph/0106024v2

Phys. Rev. Lett. 88, 040404 (2002)

Physics

Quantum Physics

6 pages, latex

Scientific paper

10.1103/PhysRevLett.88.040404

We develop a novel approach to Bell inequalities based on a constraint that the correlations exhibited by local realistic theories must satisfy. This is used to construct a family of Bell inequalities for bipartite quantum systems of arbitrarily high dimensionality which are strongly resistant to noise. In particular our work gives an analytic description of numerical results of D. Kaszlikowski, P. Gnacinski, M. Zukowski, W. Miklaszewski, A. Zeilinger, Phys. Rev. Lett. {\bf 85}, 4418 (2000) and T. Durt, D. Kaszlikowski, M. Zukowski, quant-ph/0101084, and generalises them to arbitrarily high dimensionality.

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