论文标题

重新访问量子上下文

Revisiting Quantum Contextuality

论文作者

Grangier, Philippe

论文摘要

本说明的目的是完成有关最近出现的量子上下文性[1]的有趣评论。特别是我们将介绍和讨论外观和奢侈的思想,这使人们可以将Kochen-Specker和Gleason的定理联系起来,并将重点从第一个转移到第二个。我们还将争辩说,尽管Kochen-Specker的本质上是一个负面结果(无关定理),但格里森是一个积极的结果,因为它提供了对Born统治的数学合理性。这些问题之间的链接由我们称为奢侈的特定量子功能提供。

The purpose of this note is to complete the interesting review on quantum contextuality [1] that appeared recently. In particular we will introduce and discuss the ideas of extracontextuality and extravalence, that allow one to relate Kochen-Specker's and Gleason's theorems, and also to shift the emphasis from the first to the second one. We will also argue that whereas Kochen-Specker's is essentially a negative result (a no-go theorem), Gleason's is a positive one since it provides a mathematical justification of Born's rule. The link between these issues is provided by a specific quantum feature that we call extravalence.

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