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 ) otherwise maximum violation will be limited to (1.5 sqrt{2}).
Highlights
Violation of Bell’s inequality in experiments shows that predictions of local realistic models disagree with those of quantum mechanics
Until now we have found a nonlocal model that violate the Clauser-Horne-Shimony-Holt inequality (CHSH) inequality albeit, less than quantum mechanics prediction
In this article a nonlocal realistic model based on quantum steering concept with a simple model of polarizer which obeys the Malus’ law is given
Summary
Violation of Bell’s inequality in experiments shows that predictions of local realistic models disagree with those of quantum mechanics. The result completely agrees with prediction of quantum mechanics 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. In this article, based on a computer model, without using mathematical formulism of quantum mechanics, a simple picture of what may happen in nature is given It may seem trivial, we can see how this model can be applied to simulate some effects, such as photon absorption in one-channel polarizers and deficiency of detectors. We always “measure” the polarization of photons, despite the case in one-channel polarizers, in which we have no measurement when a photon absorbed
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