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arXiv 2502.02461quant-ph
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一个受广义情境性启发扩展的威金斯朋友无矛盾定理

An extended Wigner's friend no-go theorem inspired by generalized contextuality

INL – International Iberian Nanotechnology Laboratory(国际伊比利亚纳米技术实验室);University of York(约克大学)

Laurens Walleghem, Lorenzo Catani

AI总结:

本文基于非局部性证明与广义情境性证明的对应关系,提出非情境性朋友无矛盾定理,证明量子理论与绝对观测事件和非情境性代理联合假设不一致,扩展了局部朋友无矛盾定理。

摘要:

著名的局部朋友无矛盾定理展示了量子理论与绝对观测事件和局部代理联合假设的不相容性。在局部朋友场景可实现的情况下,该结果比贝尔定理更强,因为局部朋友假设比贝尔定理假设更弱:局部代理比局部因果性更不严格,绝对观测事件包含在贝尔定理中假设的现实主义内。受贝尔场景非局部性证明与准备-测量场景广义情境性证明之间的对应关系启发,我们提出了非情境性朋友无矛盾定理。该定理展示了量子理论与绝对观测事件和非情境性代理联合假设的不一致,与局部代理作为局部因果性弱版本的方式相同。我们的结果扩展了局部朋友无矛盾定理,并在场景可实现的情况下,比基于广义非情境性的无矛盾定理更强。

英文摘要:

The renowned Local Friendliness no-go theorem demonstrates the incompatibility of quantum theory with the combined assumptions of Absoluteness of Observed Events - the idea that observed outcomes are singular and objective - and Local Agency - the requirement that the only events correlated with a setting choice are in its future light cone. Granted that the Local Friendliness scenario can be realized, this result is stronger than Bell's theorem because the assumptions of Local Friendliness are weaker than those of Bell's theorem: Local Agency is less restrictive than local causality, and Absoluteness of Observed Events is encompassed within the notion of realism assumed in Bell's theorem. Drawing inspiration from the correspondence between nonlocality proofs in Bell scenarios and generalized contextuality proofs in prepare-and-measure scenarios, we present the Noncontextual Friendliness no-go theorem. This theorem demonstrates the inconsistency of quantum theory with the joint assumptions of Absoluteness of Observed Events and Noncontextual Agency, the latter being a weaker version of noncontextuality, in the same way that Local Agency is a weaker version of local causality. Our result generalizes the Local Friendliness no-go theorem and, granted that the scenario can be realized, is stronger than no-go theorems based on generalized noncontextuality.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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