Clifford symmetries in quantum many-body systems
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Quantum Physics arXiv:2605.18966 (quant-ph) [Submitted on 18 May 2026] Title:Clifford symmetries in quantum many-body systems Authors:Charlie Nation, Rick P. A. Simon, Shreya Banerjee, Francesco Martini, Alessandro Ricottone, Federico Cerisola, Luca Dellantonio View a PDF of the paper titled Clifford symmetries in quantum many-body systems, by Charlie Nation and 6 other authors View PDF Abstract:Obtaining the symmetries of a model is a critical step towards developing an understanding and ultimately analytically or numerically solving the model. However, finding symmetries is generally extremely complicated, often being the result of insightful thinking. In this work, we complement human ingenuity with an algorithm. We leverage the classically efficient Clifford group to find symmetries for arbitrary many-body Hamiltonians via a graph representation. We demonstrate our method on random and physical Hamiltonians, with instances of up to one thousand qubits and demonstrate how our approach can provide deeper understanding of the model. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2605.18966 [quant-ph] (or arXiv:2605.18966v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2605.18966 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Charlie Nation [view email] [v1] Mon, 18 May 2026 18:00:23 UTC (219 KB) Full-text links: Access Paper: View a PDF of the paper titled Clifford symmetries in quantum many-body systems, by Charlie Nation and 6 other authorsView PDFTeX Source view license Current browse context: quant-ph new | recent | 2026-05 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?)