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Bell inequalities for arbitrarily high-dimensional systems. (English) Zbl 1243.81029
Summary: 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.

MSC:
81P15 Quantum measurement theory, state operations, state preparations
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References:
[1] J. S. Bell, Physics (Long Island City, N.Y.) 1 pp 195– (1964)
[2] J. F. Clauser, Phys. Rev. Lett. 23 pp 880– (1969) · Zbl 1371.81014 · doi:10.1103/PhysRevLett.23.880
[3] I. Percival, Phys. Lett. A 244 pp 495– (1998) · doi:10.1016/S0375-9601(98)00353-3
[4] D. Kaszlikowski, Phys. Rev. Lett. 85 pp 4418– (2000) · doi:10.1103/PhysRevLett.85.4418
[5] T. Durt, Phys. Rev. A 64 pp 024101– (2001) · doi:10.1103/PhysRevA.64.024101
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