论文标题
环境系统中情境性的认知几率
Epistemic Odds of Contextuality in Cyclic Systems
论文作者
论文摘要
从钟形定理开始,二分随机变量的循环系统一直是量子力学中许多基础发现的对象。在这里,我们提出一个问题:如果人们选择一个“随机”(在所有可能的带有边缘的所有可能系统的超箱中)选择一个环状系统,那么它将是上下文的几率?我们表明,随着系统大小的增加,情境性的几率趋于零。结果是基于上下文默认理论的,在这种理论中,我们不必假设系统受到无扰动/无信号约束的约束。
Beginning with the Bell theorem, cyclic systems of dichotomous random variables have been the object of many foundational findings in quantum mechanics. Here, we ask the question: if one chooses a cyclic system "at random" (uniformly within the hyperbox of all possible systems with given marginals), what are the odds that it will be contextual? We show that the odds of contextuality rapidly tend to zero as the size of the system increases. The result is based on the Contextuality-by-Default theory, in which we do not have to assume that the systems are subject to the no-disturbance/no-signaling constraints.