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Optics Communications

A simple experiment to test Bell’s inequality

Jean Marie Vigoureux

Published Feb 1, 2003• 3 citations
Publisher
DOI
10.1016/s0030-4018(02)02283-6

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Recently, an experiment was done in the realm of Quantum Information that won the recent 2022 Nobel prize in Physics. This experiment breaks Bell's inequality, supporting quantum theory over hidden variable theory—the research done is considered one of the pioneering experiments for quantum information science. This research paper documented the theory of the experiment done and experimentally tested for the violation of Bell's inequality, using materials similar to the experiments from the past, in an attempt to provide more support for quantum information. Through repetition of the experiment, it was simple to brainstorm more potential experimentation and design that will further develop entanglement. The mathematical formulation and terms are the same as defined in past works in detail in order to keep notation and inequalities constant throughout the analysis. Using the data points and error propagation, I have shown that Bell's inequality is violated to a great extent. This paper finally addresses potential experimentation regarding quantum entanglement and its applications to quantum sensors and computing technology.
For the first time we perform an experiment to test the possibility of Bell's inequality violation in mental states, during perception-cognition in humans. We study under a theoretical and experimental framework, a Bell-type test for human perception-cognition of ambiguous figures. It is performed a detailed analysis which demonstrates that, although we have not yet been able to violate Bell's inequality in the present performed experiment, there are strong theoretical arguments supporting our expectation to violate it by a simple articulation of the same experiment. In this framework we introduce for the first time what we retain to represent quantum cognitive observables. We consider that our analysis provides a solid ground for further investigations on quantum behaviour of cognitive systems. Therefore we reaffirm that quantum mechanics is a Giano Bifronte theory (two-faced Giano, a mythological God of the past), looking from one hand to physical reality and from the other hand to the sphere of mental reality and cognitive dynamics.