From Qubits to Qumodes: Information Capacity of Anyonic Excitations

From Qubits to Qumodes: Information Capacity of Anyonic Excitations | 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Article From Qubits to Qumodes: Information Capacity of Anyonic Excitations Satish Prajapati This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7583962/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 The interplay between quantum statistics and information encoding is a cornerstone of quantum physics. Here, the maximum information capacity of a quantum state governed by Haldane’s exclusion statistics is derived. The capacity, defined by the maximum von Neumann entropy of its occupancy distribution, follows 𝑆 max (𝑔) = log 2 (⌊1/𝑔⌋ + 1). This result continuously interpolates between the fermionic limit of a single qubit (𝑔 = 1) and the bosonic limit of a continuous-variable qumode (𝑔 → 0) For the 𝜈 = 1/3 fractional quantum Hall state (𝑔 = 1/3), we predict a 2-bit capacity, observable as four distinct quantized conductance plateaus in quantum dot spectroscopy, providing a direct signature of anyonic statistics. Physical sciences/Mathematics and computing Physical sciences/Physics Full Text Additional Declarations No competing interests reported. Supplementary Files supplementalmaterialNPJFinal.docx 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. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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-7583962","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":515455064,"identity":"51f69561-ada0-4f1c-a7b2-1fd04b282762","order_by":0,"name":"Satish Prajapati","email":"data:image/png;base64,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","orcid":"","institution":"Government College of Engineering and Ceramic Technology","correspondingAuthor":true,"prefix":"","firstName":"Satish","middleName":"","lastName":"Prajapati","suffix":""}],"badges":[],"createdAt":"2025-09-10 14:38:28","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7583962/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7583962/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":92990923,"identity":"ac706011-29de-438b-bdfe-1b068ef23825","added_by":"auto","created_at":"2025-10-08 00:16:34","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":483304,"visible":true,"origin":"","legend":"","description":"","filename":"RevisedManuscriptNPJSatishPrajapati.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7583962/v1_covered_761d8c46-f593-427d-9c06-f92f11988c10.pdf"},{"id":91403567,"identity":"b04d70b5-a36a-4767-9cf5-a922dbf53ec3","added_by":"auto","created_at":"2025-09-16 07:24:14","extension":"docx","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":468041,"visible":true,"origin":"","legend":"","description":"","filename":"supplementalmaterialNPJFinal.docx","url":"https://assets-eu.researchsquare.com/files/rs-7583962/v1/2df189890944464af8176969.docx"}],"financialInterests":"No competing interests reported.","formattedTitle":"From Qubits to Qumodes: Information Capacity of Anyonic Excitations","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-7583962/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7583962/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe interplay between quantum statistics and information encoding is a cornerstone of quantum physics. Here, the maximum information capacity of a quantum state governed by Haldane\u0026rsquo;s exclusion statistics is derived. The capacity, defined by the maximum von Neumann entropy of its occupancy distribution, follows \u0026#119878;\u003csub\u003emax\u003c/sub\u003e(\u0026#119892;)\u0026thinsp;=\u0026thinsp;log\u003csub\u003e2\u003c/sub\u003e(\u0026lfloor;1/\u0026#119892;\u0026rfloor; + 1). This result continuously interpolates between the fermionic limit of a single qubit (\u0026#119892; = 1) and the bosonic limit of a continuous-variable qumode (\u0026#119892; \u0026rarr; 0) For the \u0026#120584; = 1/3 fractional quantum Hall state (\u0026#119892; = 1/3), we predict a 2-bit capacity, observable as four distinct quantized conductance plateaus in quantum dot spectroscopy, providing a direct signature of anyonic statistics.\u003c/p\u003e","manuscriptTitle":"From Qubits to Qumodes: Information Capacity of Anyonic Excitations","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-09-16 07:24:04","doi":"10.21203/rs.3.rs-7583962/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","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}}],"origin":"","ownerIdentity":"3d1ffa34-6ee7-4e5c-a6a3-99f503a54ac5","owner":[],"postedDate":"September 16th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":54754293,"name":"Physical sciences/Mathematics and computing"},{"id":54754294,"name":"Physical sciences/Physics"}],"tags":[],"updatedAt":"2025-10-08T00:08:26+00:00","versionOfRecord":[],"versionCreatedAt":"2025-09-16 07:24:04","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7583962","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7583962","identity":"rs-7583962","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}