论文标题
关于贝尔的三种不平等现象
On the three types of Bell's inequalities
论文作者
论文摘要
贝尔的不平等现象可以通过三种不同的方式理解，具体取决于不平等中的数字是将经典概率，经典条件概率或量子概率解释的。在本文中，我将争辩说，违反贝尔的不平等现象在三种情况下具有不同的含义。在第一种情况下，它排除了将某些数字作为事件概率的解释。在第二种情况下，它排除了以其他事件（测量设置）为条件的某些事件（测量结果）的条件相关性的共同因果解释。最后，在第三种情况下，违反了贝尔的不平等现象，既不排除这些数字为事件概率的解释，也不是对这些事件之间相关性的共同因果解释 - 前提是事件和常见原因都非经典地解释。
Bell's inequalities can be understood in three different ways depending on whether the numbers featuring in the inequalities are interpreted as classical probabilities, classical conditional probabilities, or quantum probabilities. In the paper I will argue that the violation of Bell's inequalities has different meanings in the three cases. In the first case it rules out the interpretation of certain numbers as probabilities of events. In the second case it rules out a common causal explanation of conditional correlations of certain events (measurement outcomes) conditioned on other events (measurement settings). Finally, in the third case the violation of Bell's inequalities neither rules out the interpretation of these numbers as probabilities of events nor a common causal explanation of the correlations between these events---provided both the events and the common causes are interpreted non-classically.
