Ruzbehani Mohsen
Photonics and Quantum Technologies Research School, Nuclear Science and Technology Research Institute, Tehran, Iran.
Sci Rep. 2021 Mar 11;11(1):5647. doi: 10.1038/s41598-021-84438-9.
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 [Formula: see text] ) otherwise maximum violation will be limited to (1.5 [Formula: see text]).
实验中对贝尔不等式的违背表明，局域实在论模型的预测与量子力学的预测不一致。然而，尽管有量子力学形式体系，但关于它在自然界中是如何发生的仍存在争议。在本文中，通过使用一个服从马吕斯定律的偏振器模型和量子导引概念，即纠缠对的状态之间的超光速相互影响，对现象进行了模拟。给定的模型按预期设计得极其简单，不使用量子力学的数学形式体系。然而，结果与量子力学的预测完全一致。尽管这可能看起来微不足道，但该模型可用于模拟其他难以通过解析评估的效应的行为，例如探测器和偏振器的缺陷、每次运行中光子的不同值等等。例如，已证明当探测器效率为83%时，CHSH不等式的S因子将为2，这与通过解析计算得出的著名探测器效率极限完全一致。此外，在单通道偏振器中表明，为了完美违背贝尔不等式（2 [公式：见原文]），吸收光子的偏振在最后应变为与偏振器角度垂直，否则最大违背将限于（1.5 [公式：见原文]）。
