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Quantum Coordination without Conditioning under Restricted Information

arXiv Quantum Physics
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⚡ Quantum Brief
Faisal Shah Khan’s April 2026 study demonstrates quantum systems can achieve coordination tasks impossible for classical models under restricted information, even using separable states without entanglement. The research shows quantum discord—noncommuting local structures in separable states—enables correlated distributions unattainable classically, bypassing the need for agents to condition on latent variables directly. Classical diagonal encodings (shared latent variables) fail where quantum models succeed, as quantum mechanics allows coordination without explicit conditioning on past history, overcoming classical information constraints. Quantum advantages remain bounded by information structure, unable to fully replicate perfect recall but acting as a partial substitute for adaptive dependence on indistinguishable past outcomes. The work highlights quantum correlations as a tool to extend coordination capabilities beyond classical limits, though fundamental information constraints persist even in quantum frameworks.
Quantum Coordination without Conditioning under Restricted Information

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Quantum Physics arXiv:2604.27173 (quant-ph) [Submitted on 29 Apr 2026] Title:Quantum Coordination without Conditioning under Restricted Information Authors:Faisal Shah Khan View a PDF of the paper titled Quantum Coordination without Conditioning under Restricted Information, by Faisal Shah Khan View PDF HTML (experimental) Abstract:We study coordination under restricted information, where classical local models fail to implement certain correlated distributions because agents cannot condition on past history. We show that quantum systems overcome this limitation even when using only separable states. Both classically diagonal encodings (shared latent variables) and separable states with noncommuting local structure (quantum discord) enable the implementation of joint distributions that are unattainable by any classical local rules under the same information constraints. The quantum advantage arises from enabling latent-variable coordination without requiring agents to condition on the latent variable itself -- a construction that succeeds where no classical local model can. Separable states with nonzero quantum discord provide an alternative mechanism for realizing such coordination. At the same time, quantum models remain strictly limited by the information structure: unlike perfect recall, they cannot reproduce fully adaptive dependence on realized past outcomes that are observationally indistinguishable. Thus, quantum correlations serve as a partial substitute for perfect recall. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.27173 [quant-ph] (or arXiv:2604.27173v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.27173 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Faisal Shah Khan [view email] [v1] Wed, 29 Apr 2026 20:23:03 UTC (10 KB) Full-text links: Access Paper: View a PDF of the paper titled Quantum Coordination without Conditioning under Restricted Information, by Faisal Shah KhanView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-04 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