论文标题
高斯国家的随机模拟违反了贝尔的不平等
Violation of Bell inequalities by stochastic simulations of Gaussian States based on their positive Wigner representation
论文作者
论文摘要
乍一看，在量子光学器件中执行随机模拟的概率密度的使用，似乎等同于引入局部隐藏变量，从而防止了任何违反贝尔不平等的行为。但是，由于对称和正常有序的运算符之间的差异，尽管平均值为正，但随机模拟中的某些轨迹仍可能意味着负强度。因此，贝尔不平等不适用。在这里，我们检索了一个弱挤压的高斯州，量子力学，克劳瑟 - 霍恩·福音holt（CHSH）以及clauser-horn的铃铛不平等的极化状态的最大侵犯对极化状态。对于clauser-horn的铃铛不平等，研究了探测器的量子效率的影响，并且对于两种不平等，都评估了挤压程度的影响，以及不确定性范围与模拟中使用的轨迹的数量。
At first sight, the use of an everywhere positive Wigner function as a probability density to perform stochastic simulations in quantum optics seems equivalent to the introduction of local hidden variables, thus preventing any violation of Bell inequalities. However, because of the difference between symmetrically and normally ordered operators, some trajectories in stochastic simulations can imply negative intensities, despite a positive mean. Hence, Bell inequalities do not apply. Here, we retrieve for a weakly squeezed Gaussian state the maximum violation on polarization states allowed by quantum mechanics, for the Clauser-Horn-Shimony-Holt (CHSH), as well as for the Clauser-Horn Bell inequalities. For the case of the Clauser-Horn Bell inequality, the influence of the quantum efficiency of the detectors is studied, and for both inequalities, the influence of the degree of squeezing is assessed, as well as the uncertainty range versus the number of trajectories used in the simulations.
