Allowing Wigner’s friend to sequentially measure incompatible observables

IF 2.9 3区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-04-17 DOI:10.1098/rspa.2024.0040
Aníbal Utreras-Alarcón, Eric G. Cavalcanti, Howard M. Wiseman
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Abstract

The Wigner’s friend thought experiment has gained a resurgence of interest in recent years thanks to no-go theorems that extend it to Bell-like scenarios. One of these, by us and co-workers, showcased the contradiction that arises between quantum theory and a set of assumptions, weaker than those in Bell’s theorem, which we named ‘Local Friendliness’. Using these assumptions, it is possible to arrive at a set of inequalities for a given scenario, and, in general, some of these inequalities will be harder to violate than the Bell inequalities for the same scenario. A crucial feature of the extended Wigner’s friend scenario in our aforementioned work was the ability of a superobserver to reverse the unitary evolution that gives rise to their friend’s measurement. Here, we present a new scenario where the superobserver can interact with the friend repeatedly in a single experimental instance, either by asking them directly for their result, thus ending that instance, or by reversing their measurement and instructing them to perform a new one. We show that, in these scenarios, the Local Friendliness inequalities will always be the same as Bell inequalities.

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允许维格纳之友依次测量不兼容的观测变量
近年来,维格纳之友思想实验再次引起人们的兴趣,这要归功于将其扩展到类似贝尔情形的禁区定理。其中一个由我们和合作者提出,展示了量子理论与一组假设之间的矛盾,这组假设比贝尔定理中的假设更弱,我们将其命名为 "局部友好性"。利用这些假设,我们可以得出一组针对给定情景的不等式,而且一般来说,对于同一情景,其中一些不等式比贝尔不等式更难被违反。在我们的上述工作中,维格纳朋友的扩展情景的一个关键特征是超级观测者能够逆转导致其朋友测量的单元演化。在这里,我们提出了一个新方案,超级观察者可以在一个实验实例中与朋友反复互动,要么直接询问他们的结果,从而结束该实验实例,要么逆转他们的测量结果,并指示他们执行新的测量。我们证明,在这些情况下,本地友好度不等式将始终与贝尔不等式相同。
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来源期刊
CiteScore
6.40
自引率
5.70%
发文量
227
审稿时长
3.0 months
期刊介绍: Proceedings A has an illustrious history of publishing pioneering and influential research articles across the entire range of the physical and mathematical sciences. These have included Maxwell"s electromagnetic theory, the Braggs" first account of X-ray crystallography, Dirac"s relativistic theory of the electron, and Watson and Crick"s detailed description of the structure of DNA.
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