Violation of a Monty-Hall constraint on determinism using a single qutrit
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Quantum Physics arXiv:2604.25953 (quant-ph) [Submitted on 24 Apr 2026] Title:Violation of a Monty-Hall constraint on determinism using a single qutrit Authors:Jorge Meza-Domínguez View a PDF of the paper titled Violation of a Monty-Hall constraint on determinism using a single qutrit, by Jorge Meza-Dom\'inguez View PDF HTML (experimental) Abstract:We present a simple inequality that distinguishes deterministic hidden-variable theories (local or nonlocal) from standard quantum mechanics, using a single three-level system. The protocol is inspired by the Monty Hall puzzle: a coherent "descarte" procedure followed by a projective measurement. In any deterministic theory that respects the Monty Hall condition (the descarte never eliminates the real state), the probability of obtaining a chosen state after the descarte is exactly $1/3$. In contrast, quantum mechanics predicts $1/6$, due to the preparation of coherent superpositions. The inequality is violated by quantum mechanics, demonstrating that determinism (even without locality assumptions) is incompatible with quantum coherence in sequential measurements. An experimental implementation with photonic qutrits is proposed. Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph) Cite as: arXiv:2604.25953 [quant-ph] (or arXiv:2604.25953v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.25953 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Jorge Dettle Meza Domínguez [view email] [v1] Fri, 24 Apr 2026 21:23:07 UTC (9 KB) Full-text links: Access Paper: View a PDF of the paper titled Violation of a Monty-Hall constraint on determinism using a single qutrit, by Jorge Meza-Dom\'inguezView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-04 Change to browse by: math math-ph math.MP 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?)