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Regular version of the site

Article

On the existence of a local quasi hidden variable (LqHV) model for each N-qudit state and the maximal violation of Bell inequalities

International Journal of Quantum Information. 2016. Vol. 14. No. 4. P. 1640010-1-1640010-15.

We specify the local quasi hidden variable (LqHV) model reproducing the probabilistic description of all N-partite joint von Neumann measurements on an N-qudit state. Via this local probability model, we derive a new upper bound on the maximal violation by an N-qudit state of Bell inequalities of any type (either on correlation functions or on joint probabilities) for S observables per site. This new upper bound not only improves for all N, S and d the corresponding results available for general Bell inequalities in the literature but also, for the N-qubit case with two observables per site, reduces exactly to the attainable upper bound known for quantum violations of correlation 2×⋯×2 setting Bell inequalities in a dichotomic case.