论文标题
有条件的概率规则在量子理论中有效[评论Gelman＆Yao的“贝叶斯统计中的孔”]
The rule of conditional probability is valid in quantum theory [Comment on Gelman & Yao's "Holes in Bayesian Statistics"]
论文作者
论文摘要
在最近的手稿中，Gelman＆Yao（2020）声称“量子领域的通常条件概率规则失败了”，“概率理论不正确（量子物理学）”，并声称以量子双重缝制实验的示例来支持这些陈述。本评论回顾了量子理论中的一些相关文献，并表明（i）Gelman＆Yao的陈述是错误的；实际上，量子示例证实了概率理论的规则。 （ii）量子示例中发现的特定不等式也可以显示出在非常非量化的示例中，例如从urn绘制的示例；因此，量子理论在此问题上没有什么特殊的。在引用手稿中，关于量子理论的几个错误或不精确的陈述也得到纠正。
In a recent manuscript, Gelman & Yao (2020) claim that "the usual rules of conditional probability fail in the quantum realm" and that "probability theory isn't true (quantum physics)" and purport to support these statements with the example of a quantum double-slit experiment. The present comment recalls some relevant literature in quantum theory and shows that (i) Gelman & Yao's statements are false; in fact, the quantum example confirms the rules of probability theory; (ii) the particular inequality found in the quantum example can be shown to appear also in very non-quantum examples, such as drawing from an urn; thus there is nothing peculiar to quantum theory in this matter. A couple of wrong or imprecise statements about quantum theory in the cited manuscript are also corrected.
