On random classical marginal problems with applications to quantum information theory

[2406.14153] On random classical marginal problems with applications to quantum information theory Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Quantum Physics arXiv:2406.14153 (quant-ph) [Submitted on 20 Jun 2024] Title: On random classical marginal problems with applications to quantum information theory Authors: Ankit Kumar Jha , Ion Nechita View a PDF of the paper titled On random classical marginal problems with applications to quantum information theory, by Ankit Kumar Jha and 1 other authors View PDF HTML (experimental) Abstract: In this paper, we study random instances of the classical marginal problem. We encode the problem in a graph, where the vertices have assigned fixed binary probability distributions, and edges have assigned random bivariate distributions having the incident vertex distributions as marginals. We provide estimates on the probability that a joint distribution on the graph exists, having the bivariate edge distributions as marginals. Our study is motivated by Fine's theorem in quantum mechanics. We study in great detail the graphs corresponding to CHSH and Bell-Wigner scenarios providing rations of volumes between the local and non-signaling polytopes. Subjects: Quantum Physics (quant-ph) ; Mathematical Physics (math-ph); Probability (math.PR) Cite as: arXiv:2406.14153 [quant-ph] (or arXiv:2406.14153v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2406.14153 Focus to learn more arXiv-issued DOI via DataCite Journal reference: J. Phys. A: Math. Theor. 58 085302 (2025) Related DOI : https://doi.org/10.1088/1751-8121/adb547 Focus to learn more DOI(s) linking to related resources Submission history From: Ion Nechita [ view email ] [v1] Thu, 20 Jun 2024 09:51:23 UTC (3,169 KB) Full-text links: Access Paper: View a PDF of the paper titled On random classical marginal problems with applications to quantum information theory, by Ankit Kumar Jha and 1 other authors View PDF HTML (experimental) TeX Source view license Current browse context: quant-ph < prev | next > new | recent | 2024-06 Change to browse by: math math-ph math.MP math.PR References & Citations INSPIRE HEP NASA ADS Google 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? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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