Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Stochastic physical optics and Bell's correlation

Han J.F. Geurdes

Published Dec 18, 2012• 0 citations

Abstract

It is demonstrated that, with a probability greater than zero, Einstein Local Hidden Variables can violate the Clauser, Horn, Shimony and Holt contrast. The method is based on Stochastic Physical Optics. The paper argues for a probabilistic loophole in CHSH experiments.

DOI: 10.1117/12.966350

Related papers

Stochastics of Bell's correlation

Han Geurdes

It is demonstrated that a probability loophole exists for Einstein local hidden variables to violate the Clauser, Horne, Shimony, and Holt contrast.

arXiv:1203.4514Optical EngineeringDec 11, 20123 citations

Hidden variable model for the Bell-Clauser-Horne-Shimony-Holt test based on the Bell-Kochen-Specker model for a qubit

F. De Zela

The validity of the Bell-Clauser-Horne-Shimony-Holt (Bell-CHSH) inequality for hidden-variable models of the Bell type and the quantum prediction that said inequality can be violated are two indisputable assertions. However, one can prove wrong the assertion that no hidden-variable model is able to reproduce quantum predictions about the Bell-CHSH test. Here, we reproduce all quantum predictions of Bell-CHSH tests by means of the Bell-Kochen-Specker hidden-variable model for a qubit plus Einstein-Podolsky-Rosen “criterion of physical reality”.

Physics Letters AJul 17, 20260 citations

The connection between Bell's inequalities based on probabilities and those based on correlations

Louis Sica

Violation of Bell inequalities is widely regarded as a definitive test for non-locality. However, Bell correlational inequalities must always be satisfied by all jointly present, cross-correlated data. The correlations of variable pairs obtained in repeated runs are not cross-correlated in this way and are not required to satisfy the Bell inequality. In addition, by using information regarded as non-local, proper joint correlations may be computed among counterfactual and measured variables. These correlations satisfy the Bell inequality, but are spatially non-stationary in angle. By using a simple symmetry condition, such considerations may be extended to inequalities in probabilities. The latter may be derived directly from correlational inequalities developed by Clauser, Horne, Shimony and Holt (CHSH). Violation of either correlational or probabilistic Bell inequalities then implies that the Bell correlation cannot be accounted for by a stochastic process that is spatially stationary in angle coordinates. However, other processes may still be allowed.

Journal of Modern OpticsNov 1, 20041 citation

On Possible Violation of the Clauser–Horne–Shimony–Holt Bell Inequality in a Classical Context

Bogusław Broda, Michał Szanecki

It has been shown that there is a small possibility to experimentally violate the CHSH Bell inequality in a 'classical' context. The probability of such a violation has been estimated in the framework of a classical probabilistic model in the language of a random-walk representation.

arXiv:0905.0398Journal of the Physical Society of JapanJun 10, 20110 citations

A logical loophole in the derivation of the CHSH Bell-type inequality

G. Coddens

We point out a loophole in the derivation of the Bell inequalities in the form proposed by Clauser, Horne, Shimony and Holt (CHSH). In this derivation it is assumed that statistical independence is a necessary consequence of locality, but this is not a logical necessity.

arXiv:1309.6057Sep 24, 20130 citations

The Clauser-Horne-Shimony-Holt inequality in the context of a broad random variable

Felipe Andrade Velozo, José A. C. Nogales, Gustavo Figueiredo Araújo

In this work we aim to analyze the Clauser-Horne-Shimony-Holt CHSH inequality strictly in the context of probability theory. In the course of assembling inequality we have to take care not to produce assumptions a priori, that is, physically or intuitively accepted suppositions. Of course, this does not mean that after these considerations, we put the adequate physical conditions suitable and generally accepted in these contexts. This allows us to clearly visualize the possibility of finding a greater inequality than that of CHSH in which it is included. This inequality does not contradict the CHSH inequality. This result is suported by using a robust computational simulation, showing the possibility for obtaining an inequality for quantum mechanics that is not violated and allows random hidden variables without any conflict with Bell's inequality.

arXiv:1805.11200May 28, 20181 citation