经典自旋关联与量子自旋关联均方距离的下界
Lower bound for the mean square distance between classical and quantum spin correlations
摘要：
贝尔定理阻止了两个自旋为1/2的粒子的单重态的局部柯尔莫哥洛夫模拟。我们推导出一个正的下界$L^{2}% $之间的量子力学自旋单重态关系函数$\cos$和它的任何经典近似$C$形成的平稳自相关函数的均方连续，$2π$周期，$\pm1$值，随机过程的距离。该界限由$\Vert C-\cos\Vert \geq(1-\frac{8}{π^{2}}) /\sqrt{2}\approx0.133\,95.$给出
英文摘要：
Bell's theorem prevents local Kolmogorov-simulations of the singlet state of two spin-1/2 particles. We derive a positive lower bound for the $L^{2}% $-distance between the quantum mechanical spin singlet anticorrelation function $\cos$ and any of its classical approximants $C$ formed by the stationary autocorrelation functions of mean-square-continuous, $2π$-periodic, $\pm1$-valued, stochastic processes. This bound is given by $\Vert C-\cos\Vert \geq(1-\frac{8}{π^{2}}) /\sqrt{2}\approx0.133\,95.$
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