论文标题
Wigner的朋友Paradox上的一个可能的无关定理
A possibilistic no-go theorem on the Wigner's friend paradox
论文作者
论文摘要
在最近的一项工作中，Bong等人。 [自然物理学16，1199（2020）]事实证明，在“ Wigner's Friend” Paradox的扩展版本上，一组称为“本地友善”（LF）的假设与某些量子现象之间的假设之间存在矛盾。 LF假设可以理解为两个独立假设的结合：观察到的事件的绝对性（AOE）要求任何观察者观察到的事件具有绝对的，而不是相对值；当地机构（LA）编码这样的假设，即干预措施不能影响未来光锥之外的事件。但是，LF无关定理的证明隐含地假定了标准概率理论的有效性。在这里，我们介绍了本地友好定理的无概率版本，它以Hardy的无关定理为本地隐藏变量。该论点是用可能性的语言来表达的，我们通过使用模态逻辑方法进行形式。它依赖于本地机构的较弱版本，我们称之为“可能的地方机构”：假设干预不能影响未来光锥之外事件的可能性。
In a recent work, Bong et al. [Nature Physics 16, 1199 (2020)] proved a no-go theorem demonstrating a contradiction between a set of assumptions called "Local Friendliness" (LF) and certain quantum phenomena on an extended version of the "Wigner's friend" paradox. The LF assumptions can be understood as the conjunction of two independent assumptions: Absoluteness of Observed Events (AOE) requires that events observed by any observer have absolute, rather than relative, values; Local Agency (LA) encodes the assumption that an intervention cannot influence events outside its future light cone. The proof of the LF no-go theorem, however, implicitly assumes the validity of standard probability theory. Here we present a probability-free version of the Local Friendliness theorem, building upon Hardy's no-go theorem for local hidden variables. The argument is phrased in the language of possibilities, which we make formal by using a modal logical approach. It relies on a weaker version of Local Agency, which we call "Possibilistic Local Agency": the assumption that an intervention cannot influence the possibilities of events outside its future light cone.
