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Phys. Rev. Lett. 88, 040404 (2002) [4 pages]

Bell Inequalities for Arbitrarily High-Dimensional Systems

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Daniel Collins1,2, Nicolas Gisin3, Noah Linden4, Serge Massar5, and Sandu Popescu1,2
1H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, United Kingdom
2BRIMS, Hewlett-Packard Laboratories, Stoke Gifford, Bristol BS12 6QZ, United Kingdom
3Group of Applied Physics, University of Geneva, 20, rue de l'Ecole-de-Médecine, CH-1211 Geneva 4, Switzerland
4Department of Mathematics, Bristol University, University Walk, Bristol BS8 1TW, United Kingdom
5Service de Physique Théorique, Université Libre de Bruxelles, CP 225, Boulevard du Triomphe, B1050 Bruxelles, Belgium

Received 23 July 2001; published 10 January 2002

We develop a novel approach to Bell inequalities based on a constraint that the correlations exhibited by local variable 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 previous numerical results and generalizes them to arbitrarily high dimensionality.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.040404
DOI:
10.1103/PhysRevLett.88.040404
PACS:
03.65.Ud, 03.67.-a
 
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