A contextual advantage for conclusive exclusion: repurposing the Pusey-Barrett-Rudolph construction

Quantum Physics arXiv:2512.04173 (quant-ph) [Submitted on 3 Dec 2025] Title:A contextual advantage for conclusive exclusion: repurposing the Pusey-Barrett-Rudolph construction Authors:Yìlè Yīng, David Schmid, Robert W. Spekkens View a PDF of the paper titled A contextual advantage for conclusive exclusion: repurposing the Pusey-Barrett-Rudolph construction, by Y\`il\`e Y\=ing and 2 other authors View PDF HTML (experimental) Abstract:The task of conclusive exclusion for a set of quantum states is to find a measurement such that for each state in the set, there is an outcome that allows one to conclude with certainty that the state in question was not prepared. Defining classicality of statistics as realizability by a generalized-noncontextual ontological model, we show that there is a quantum-over-classical advantage for how well one can achieve conclusive exclusion. This is achieved in an experimental scenario motivated by the construction appearing in the Pusey-Barrett-Rudolph theorem. We derive noise-robust noncontextuality inequalities bounding the conclusiveness of exclusion, and describe a quantum violation of these. Finally, we show that this bound also constitutes a classical causal compatibility inequality within the bilocality scenario, and that its violation in quantum theory yields a novel possibilistic proof of a quantum-classical gap in that scenario. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2512.04173 [quant-ph] (or arXiv:2512.04173v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2512.04173 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Yìlè Yīng [view email] [v1] Wed, 3 Dec 2025 19:00:05 UTC (298 KB) Full-text links: Access Paper: View a PDF of the paper titled A contextual advantage for conclusive exclusion: repurposing the Pusey-Barrett-Rudolph construction, by Y\`il\`e Y\=ing and 2 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-12 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?)