Violation of probabilistic inequality Clauser-Horne-Shimony-Holt in Quantum Mechanics

TL;DR

This paper examines the violation of the Clauser-Horne-Shimony-Holt inequality in quantum mechanics, analyzing experimental data to assess the validity of probabilistic inequalities under quantum conditions.

Contribution

It investigates whether the CHSH inequality holds within the framework of probability theory, challenging the standard interpretation of quantum entanglement experiments.

Findings

The inequality was found to be violated in experimental data.

Probabilistic assumptions may not fully account for quantum correlations.

Results question the applicability of classical probability to quantum phenomena.

Abstract

In 1982, Alain Aspect, and collaborators performed an experiment, in order to observe the violation of the inequality of Clauser-Horne-Shimony-Holt. After the experiment, they used the data in the inequality and concluded that the inequality, obtained through probabilistic arguments, was violated confirming the conclusions obtained by John S. Bell that was not possible a theory of hidden variables in the conditions suggested by Einstein, Podolsky and Rosen. The aim of this work is to verify the validity of the inequalities in the conditions of the probabilistic theory, in order to hold with the axioms of the probability.