Extending Bell's Theorem: Nonlocality via Measurement Dependence
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Quantum Physics arXiv:2602.11300 (quant-ph) [Submitted on 11 Feb 2026] Title:Extending Bell's Theorem: Nonlocality via Measurement Dependence Authors:G. Bacciagaluppi, R. Hermens, G. Leegwater View a PDF of the paper titled Extending Bell's Theorem: Nonlocality via Measurement Dependence, by G. Bacciagaluppi and R. Hermens and G. Leegwater View PDF HTML (experimental) Abstract:Besides well-known conditions of locality or factorisability, deriving the Bell inequalities requires assuming that the distribution of hidden variables and Alice's and Bob's measurement settings be independent of each other. We show that (analogously to violations of locality due to action at a distance) certain violations of this Measurement Independence assumption can be associated with a notion of signalling in principle, thus making them also testable in principle, and spell out the appropriate conditions. Accordingly, we show that by imposing no-signalling one can prove a version of Bell's theorem that does not require the assumption of Measurement Independence. We discuss the "Schulman model" as an example, as well as lessons for "experimental metaphysics". Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2602.11300 [quant-ph] (or arXiv:2602.11300v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2602.11300 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Ronnie Hermens [view email] [v1] Wed, 11 Feb 2026 19:21:23 UTC (247 KB) Full-text links: Access Paper: View a PDF of the paper titled Extending Bell's Theorem: Nonlocality via Measurement Dependence, by G. Bacciagaluppi and R. Hermens and G. LeegwaterView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-02 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?) Links to Code Toggle Papers with Code (What is Papers with Code?) 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?)