quantum-computing

Violation of Bell Monogamy Relations

arXiv Quantum Physics

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⚡ Quantum Brief

Researchers Abhisek Panda, Chandan Datta, and Pankaj Agrawal demonstrated that Bell monogamy relations—fundamental constraints on shared quantum nonlocality—can be violated using local filtering operations, challenging a core assumption in multipartite quantum systems. The study focuses on permutation-symmetric pure states, particularly W states, where nonlocality distribution was previously thought strictly limited by Bell inequalities across subsystems. By applying local filters, the team showed that nonlocality in one subsystem can exceed theoretical limits without altering others, contradicting the monogamy principle governing entanglement and Bell correlations. This violation suggests that nonlocality sharing in quantum networks may be more flexible than prior models predicted, with potential implications for quantum communication protocols and error correction. Published in January 2026, the findings open new avenues for exploring nonlocality distribution in multipartite systems, possibly reshaping quantum information theory frameworks.

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Quantum Physics arXiv:2601.02925 (quant-ph) [Submitted on 6 Jan 2026] Title:Violation of Bell Monogamy Relations Authors:Abhisek Panda, Chandan Datta, Pankaj Agrawal View a PDF of the paper titled Violation of Bell Monogamy Relations, by Abhisek Panda and 2 other authors View PDF HTML (experimental) Abstract:The entangled multipartite systems, specially in pure states, exhibit the phenomenon entanglement monogamy. Such systems also display the phenomenon of Bell nonlocality. Like entanglement monogamy relations, there are Bell monogamy relations. These relations suggest a sharing of nonlocality across the subsystems. The nonlocality, as characterized by Bell inequalities, of one subsystem limits the nonlocality exhibited by another subsystem. We show that the Bell monogamy relations can be violated by using local filtering operations. We consider permutation-symmetric multipartite pure states, in particular $W$ states, to demonstrate the violation. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2601.02925 [quant-ph] (or arXiv:2601.02925v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.02925 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Abhisek Panda [view email] [v1] Tue, 6 Jan 2026 11:09:29 UTC (214 KB) Full-text links: Access Paper: View a PDF of the paper titled Violation of Bell Monogamy Relations, by Abhisek Panda and 2 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-01 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?)

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Source: arXiv Quantum Physics

Website: https://arxiv.org/rss/quant-ph