A generalized structure of Bell inequalities for bipartite arbitrary dimensional systems

Details A generalized structure of Bell inequalities for bipartite arbitrary dimensional systems A generalized structure of Bell inequalities for bipartite arbitrary dimensional systems

2005-12-21

arxiv.org/abs/quant-ph/0512176v3

Phys. Rev. A 76, 032108 (2007)

Physics

Quantum Physics

6 pages, 1 figure

Scientific paper

10.1103/PhysRevA.76.032108

We propose a generalized structure of Bell inequalities for arbitrary d-dimensional bipartite systems, which includes the existing two types of Bell inequalities introduced by Collins-Gisin-Linden-Massar-Popescu [Phys. Rev. Lett. 88, 040404 (2002)] and Son-Lee-Kim [Phys. Rev. Lett. 96, 060406 (2006)]. We analyze Bell inequalities in terms of correlation functions and joint probabilities, and show that the coefficients of correlation functions and those of joint probabilities are in Fourier transform relations. We finally show that the coefficients in the generalized structure determine the characteristics of quantum violation and tightness.

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