Simulation of the Bell inequality violation based on quantum steering concept

Abstract Violation of Bell’s inequality in experiments shows that predictions of local realistic models disagree with those of quantum mechanics. However, despite the quantum mechanics formalism, there are debates on how does it happen in nature. In this paper by use of a model of polarizers that ob...

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Autor principal:	Mohsen Ruzbehani
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/dbdb39c4f6c443c5880bc79a7bb71dc1
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spelling	oai:doaj.org-article:dbdb39c4f6c443c5880bc79a7bb71dc12021-12-02T11:35:53ZSimulation of the Bell inequality violation based on quantum steering concept10.1038/s41598-021-84438-92045-2322https://doaj.org/article/dbdb39c4f6c443c5880bc79a7bb71dc12021-03-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-84438-9https://doaj.org/toc/2045-2322Abstract Violation of Bell’s inequality in experiments shows that predictions of local realistic models disagree with those of quantum mechanics. However, despite the quantum mechanics formalism, there are debates on how does it happen in nature. In this paper by use of a model of polarizers that obeys the Malus’ law and quantum steering concept, i.e. superluminal influence of the states of entangled pairs to each other, simulation of phenomena is presented. The given model, as it is intended to be, is extremely simple without using mathematical formalism of quantum mechanics. However, the result completely agrees with prediction of quantum mechanics. Although it may seem trivial, this model can be applied to simulate the behavior of other not easy to analytically evaluate effects, such as deficiency of detectors and polarizers, different value of photons in each run and so on. For example, it is demonstrated, when detector efficiency is 83% the S factor of CHSH inequality will be 2, which completely agrees with famous detector efficiency limit calculated analytically. Also, it is shown in one-channel polarizers the polarization of absorbed photons, should change to the perpendicular of polarizer angle, at very end, to have perfect violation of the Bell inequality (2 $$\sqrt 2$$ 2 ) otherwise maximum violation will be limited to (1.5 $$\sqrt{2}$$ 2 ).Mohsen RuzbehaniNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-11 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Mohsen Ruzbehani Simulation of the Bell inequality violation based on quantum steering concept
description	Abstract Violation of Bell’s inequality in experiments shows that predictions of local realistic models disagree with those of quantum mechanics. However, despite the quantum mechanics formalism, there are debates on how does it happen in nature. In this paper by use of a model of polarizers that obeys the Malus’ law and quantum steering concept, i.e. superluminal influence of the states of entangled pairs to each other, simulation of phenomena is presented. The given model, as it is intended to be, is extremely simple without using mathematical formalism of quantum mechanics. However, the result completely agrees with prediction of quantum mechanics. Although it may seem trivial, this model can be applied to simulate the behavior of other not easy to analytically evaluate effects, such as deficiency of detectors and polarizers, different value of photons in each run and so on. For example, it is demonstrated, when detector efficiency is 83% the S factor of CHSH inequality will be 2, which completely agrees with famous detector efficiency limit calculated analytically. Also, it is shown in one-channel polarizers the polarization of absorbed photons, should change to the perpendicular of polarizer angle, at very end, to have perfect violation of the Bell inequality (2 $$\sqrt 2$$ 2 ) otherwise maximum violation will be limited to (1.5 $$\sqrt{2}$$ 2 ).
format	article
author	Mohsen Ruzbehani
author_facet	Mohsen Ruzbehani
author_sort	Mohsen Ruzbehani
title	Simulation of the Bell inequality violation based on quantum steering concept
title_short	Simulation of the Bell inequality violation based on quantum steering concept
title_full	Simulation of the Bell inequality violation based on quantum steering concept
title_fullStr	Simulation of the Bell inequality violation based on quantum steering concept
title_full_unstemmed	Simulation of the Bell inequality violation based on quantum steering concept
title_sort	simulation of the bell inequality violation based on quantum steering concept
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/dbdb39c4f6c443c5880bc79a7bb71dc1
work_keys_str_mv	AT mohsenruzbehani simulationofthebellinequalityviolationbasedonquantumsteeringconcept
_version_	1718395850903781376

Simulation of the Bell inequality violation based on quantum steering concept

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