Onset of thermalization of q-deformed SU(2) Yang–Mills theory on a trapped-ion quantum computer

Onset of thermalization of q-deformed SU(2) Yang–Mills theory on a trapped-ion quantum computer | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Onset of thermalization of q-deformed SU(2) Yang–Mills theory on a trapped-ion quantum computer Tomoya Hayata, Yoshimasa Hidaka, Yuta Kikuchi This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8735770/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Nonequilibrium dynamics of quantum many-body systems is one of the main targets of quantum simulations. This focus – together with rapid advances in quantum-computing hardware – has driven increasing applications in high-energy physics, particularly in lattice gauge theories. However, most existing experimental demonstrations remain restricted to (1+1)-dimensional and/or abelian gauge theories, such as the Schwinger model and the toric code. It is essential to develop quantum simulations of nonabelian gauge theories in higher dimensions, addressing realistic problems in high-energy physics. To fill the gap, we demonstrate a quantum simulation of thermalization dynamics in a (2+1)-dimensional q-deformed SU(2)3 Yang–Mills theory using a trapped-ion quantum computer. By restricting the irreducible representations of the gauge fields to the integer-spin sector of SU(2)3, we obtain a simplified yet nontrivial model described by Fibonacci anyons, which preserves the essential nonabelian fusion structure of the gauge fields. We successfully simulate the real-time dynamics of this model using quantum circuits that explicitly implement F-moves. In our demonstrations, the quantum circuits execute up to 47 sequential F-moves. We identify idling errors as the dominant error source, which can be effectively mitigated using dynamical decoupling combined with a parallelized implementation of F-moves. Physical sciences/Mathematics and computing Physical sciences/Physics Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-8735770","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":584230185,"identity":"b10fc566-e44c-441c-8ca0-4451e432e8a8","order_by":0,"name":"Tomoya Hayata","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAs0lEQVRIiWNgGAWjYBACAwhlY8DADKQkiNZygCGNdC2HDYh3mDn7GcPPH2rOG/OzMx9gsNxBhBbLnhxjiQPHbptJNrMlMEieIcZhB3IMJA6w3bYxOMxjwCDZRoyW82+Mfxz4d87GnngtN3LMJA62HTAzYCZey7Myi7N9ycYSh9kSDhDnl/PJm29UfLMz7O8/fPCxJDEhxsDAgYiSw5INRGlhfwBnMn4kTssoGAWjYBSMMAAAQbY3M4dcfCIAAAAASUVORK5CYII=","orcid":"","institution":"Keio University School of Medicine","correspondingAuthor":true,"prefix":"","firstName":"Tomoya","middleName":"","lastName":"Hayata","suffix":""},{"id":584230198,"identity":"1b96f401-c5e8-4cc8-9976-3d3e59762f05","order_by":1,"name":"Yoshimasa Hidaka","email":"","orcid":"","institution":"Kyoto University","correspondingAuthor":false,"prefix":"","firstName":"Yoshimasa","middleName":"","lastName":"Hidaka","suffix":""},{"id":584230206,"identity":"43f37f89-8068-45a1-8a1a-adea8abafc82","order_by":2,"name":"Yuta Kikuchi","email":"","orcid":"","institution":"Quantinuum (Tokyo)","correspondingAuthor":false,"prefix":"","firstName":"Yuta","middleName":"","lastName":"Kikuchi","suffix":""}],"badges":[],"createdAt":"2026-01-30 00:38:18","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8735770/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8735770/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":102682015,"identity":"04e09f99-33c8-4464-8139-04bcbfaca2be","added_by":"auto","created_at":"2026-02-14 21:24:00","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":4388911,"visible":true,"origin":"","legend":"","description":"","filename":"npjsubmit.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8735770/v1_covered_5cf1875a-c5c1-4af6-b36c-c5dba47bb8d9.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Onset of thermalization of q-deformed SU(2) Yang–Mills theory on a trapped-ion quantum computer","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-8735770/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8735770/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Nonequilibrium dynamics of quantum many-body systems is one of the main targets of quantum simulations. 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