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

Corrections for this article
- Erratum:" On the existence of a local quasi hidden variable (LqHV) model for each N-qudit state and the maximal quantum violation of Bell inequalities"

Elena R. Loubenets

Elena R. Loubenets

Moscow Institute of Electronics and Mathematics, National Research University HSE, Moscow 123458, Russia

E-mail Address: elena.loubenets@hse.ru

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https://doi.org/10.1142/S0219749916400104Cited by:6 (Source: Crossref)

Abstract

We specify the local quasi hidden variable (LqHV) model reproducing the probabilistic description of allN-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 $S$ $S$ observables per site. This new upper bound not only improves for all $N,$ $N,$ $S$ $S$ 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 $2 \times \dots \times 2$ $2 \times \dots \times 2$ setting Bell inequalities in a dichotomic case.

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