A generalized structure of Bell inequalities for bipartite arbitrary dimensional systems
arXiv:quant-ph/0512176 · doi:10.1103/PhysRevA.76.032108
Abstract
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.
6 pages, 1 figure
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- High-dimensional Bell test for a continuous variable state in phase space and its robustness to detection inefficiency
- Noise-adaptive test of quantum correlations with quasiprobability functions
- Computational Perspectives on Bell Inequalities and Many-body Quantum Correlations
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