Bell inequalities for arbitrarily high dimensional systems
Quantum Physics
2009-11-07 v2
Abstract
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.
Cite
@article{arxiv.quant-ph/0106024,
title = {Bell inequalities for arbitrarily high dimensional systems},
author = {D. Collins and N. Gisin and N. Linden and S. Massar and S. Popescu},
journal= {arXiv preprint arXiv:quant-ph/0106024},
year = {2009}
}
Comments
6 pages, latex