Connecting extended Wigner's friend arguments and noncontextuality

• URL: http://arxiv.org/abs/2409.07537v1
• Date: Wed, 11 Sep 2024 18:01:17 GMT
• Title: Connecting extended Wigner's friend arguments and noncontextuality
• Authors: Laurens Walleghem, Yìlè Yīng, Rafael Wagner, David Schmid,
• Abstract summary: The Local Friendliness argument provides strong constraints on the nature of reality. We prove a variety of connections between Local Friendliness scenarios and Kochen-Specker noncontextuality.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The Local Friendliness argument is an extended Wigner's friend no-go theorem that provides strong constraints on the nature of reality -- stronger even than those imposed by Bell's theorem or by noncontextuality arguments. In this work, we prove a variety of connections between Local Friendliness scenarios and Kochen-Specker noncontextuality. Specifically, we first show how one can derive new Local Friendliness inequalities using known tools and results from the literature on Kochen-Specker noncontextuality. In doing so, we provide a new derivation for some of the facets of the Local Friendliness polytope, and we prove that this polytope is equal to the Bell polytope in a wide range of extended Wigner's friend scenarios with multipartite agents and sequential measurements. We then show how any possibilistic Kochen-Specker argument can be mathematically translated into a related proof of the Local Friendliness no-go theorem. In particular, we construct a novel kind of Local Friendliness scenario where a friend implements several compatible measurements (or joint measurements of these) in between the superobserver's operations on them. We illustrate this with the well-known 5-cycle and Peres-Mermin contextuality arguments.

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