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Kochen-Specker nonlocal hidden variables must include time-ordering to allow for measurement independence of several agents

arXiv Quantum Physics
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⚡ Quantum Brief
Scarani and Suarez propose a new constraint on nonlocal hidden-variable theories in quantum mechanics, arguing that time-ordering of measurements must be included to preserve consistency in multi-agent experiments. The study examines Kochen-Specker contextual hidden variables stored outside spacetime, where agents freely choose measurement contexts—even across spacelike or timelike separations. For Bell-type experiments with multiple agents, the authors show measurement independence requires the hidden-variable context to encode not just measurement choices but also their temporal sequence. This challenges traditional hidden-variable models by introducing time as a fundamental component of quantum ontologies, potentially reshaping interpretations of nonlocality. The findings suggest that any viable hidden-variable theory must account for temporal ordering to avoid contradictions in multi-party quantum correlations.
Kochen-Specker nonlocal hidden variables must include time-ordering to allow for measurement independence of several agents

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Quantum Physics arXiv:2605.07228 (quant-ph) [Submitted on 8 May 2026] Title:Kochen-Specker nonlocal hidden variables must include time-ordering to allow for measurement independence of several agents Authors:Valerio Scarani, Antoine Suarez View a PDF of the paper titled Kochen-Specker nonlocal hidden variables must include time-ordering to allow for measurement independence of several agents, by Valerio Scarani and Antoine Suarez View PDF HTML (experimental) Abstract:We consider an ontology, in which contextual nonlocal hidden variables are stored as pre-existing possibilities in a repository outside space-time; and in which the context can be chosen ``freely'' (measurement independence) by each agent, both in spacelike and timelike configurations. We show that, in Bell-type experiments involving several agents, for this ontology to be consistent, the context must include not only the measurements that can be performed, but also the time ordering of the choices of different agents. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2605.07228 [quant-ph] (or arXiv:2605.07228v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2605.07228 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Valerio Scarani [view email] [v1] Fri, 8 May 2026 04:26:22 UTC (11 KB) Full-text links: Access Paper: View a PDF of the paper titled Kochen-Specker nonlocal hidden variables must include time-ordering to allow for measurement independence of several agents, by Valerio Scarani and Antoine SuarezView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-05 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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Source: arXiv Quantum Physics