Coherence Scaling in Quantum Communication Protocols

Coherence Scaling in Quantum Communication Protocols | 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 Research Article Coherence Scaling in Quantum Communication Protocols Pedro Henrique Alvarez, Marcos César de Oliveira This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8633024/v1 This work is licensed under a CC BY 4.0 License Status: Under Revision Version 1 posted 9 You are reading this latest preprint version Abstract We investigate how quantum coherence scales and is redistributed in quantum communication protocols, us-ing superdense coding and quantum teleportation as paradigmatic case studies. Employing the relative entropyof coherence as a circuit-level resource measure, we show that multipartite resource states relevant to general-ized superdense coding can enable scalable communication while exhibiting only logarithmic or even constantcoherence growth, depending on their entanglement structure. In sharp contrast, quantum teleportation displaysan unavoidable, protocol-induced coherence cost that grows linearly with the number of teleported qubits andis independent of the input state. Through a stage-resolved analysis of the teleportation circuit, we separateprotocol-generated coherence from message-dependent contributions and identify a universal two-bit coherenceoffset per teleported qubit at the maximal-coherence stage. We further demonstrate explicitly that this extensiveintermediate coherence generation is fully consistent with information-theoretic bounds, including the Holevolimit, and does not correspond to an increase in accessible classical information. Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Revision Version 1 posted Editorial decision: Revision requested 19 Apr, 2026 Reviews received at journal 07 Apr, 2026 Reviews received at journal 24 Mar, 2026 Reviewers agreed at journal 24 Mar, 2026 Reviewers agreed at journal 10 Mar, 2026 Reviewers invited by journal 05 Mar, 2026 Editor assigned by journal 21 Jan, 2026 Submission checks completed at journal 21 Jan, 2026 First submitted to journal 18 Jan, 2026 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. 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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-8633024","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":602463741,"identity":"286d1f3b-753d-434a-a58a-5c6c81e9f52e","order_by":0,"name":"Pedro Henrique Alvarez","email":"","orcid":"","institution":"Carl von Ossietzky University of Oldenburg","correspondingAuthor":false,"prefix":"","firstName":"Pedro","middleName":"Henrique","lastName":"Alvarez","suffix":""},{"id":602463744,"identity":"560d5bb6-7171-4e3b-8ad4-5b8f3ae39441","order_by":1,"name":"Marcos César de Oliveira","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA1UlEQVRIiWNgGAWjYPACGx72ZhBtAOaxEaMljYfnMIlaDjPwHEDw8GvRbT/78MOHP+dleNgZ2KQLCuzkdWc3sD2uwKPF7Ey6seTMtts8PMxALTMMkg233TnAbngGn5YDaWzMvA23eexBWngMDjBuu5HAJtmAT8v5Z2zMPH/OQWwBarEnrOUG0BYetgNwLYlEaHnGDPRLMlALY7M1j0Fy8rY7B9sN8TssjREYYnb2PPyHD97m+WNnu+1287GH+LQgAUaoOgkYg3ggQaqGUTAKRsEoGO4AAHuxQyYYWoz/AAAAAElFTkSuQmCC","orcid":"","institution":"State University of Campinas","correspondingAuthor":true,"prefix":"","firstName":"Marcos","middleName":"César","lastName":"de Oliveira","suffix":""}],"badges":[],"createdAt":"2026-01-18 18:08:16","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8633024/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8633024/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":104405262,"identity":"614be7c9-a955-407e-bb35-6b512511a946","added_by":"auto","created_at":"2026-03-11 12:22:19","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":564817,"visible":true,"origin":"","legend":"","description":"","filename":"CommunicationCoherenceNew.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8633024/v1_covered_e9d8440e-dac3-4cb8-b57d-f7a2981c9fac.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Coherence Scaling in Quantum Communication Protocols","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"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":"quantum-information-processing","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"qinp","sideBox":"Learn more about [Quantum Information Processing](http://link.springer.com/journal/11128)","snPcode":"11128","submissionUrl":"https://submission.nature.com/new-submission/11128/3","title":"Quantum Information Processing","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-8633024/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8633024/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"We investigate how quantum coherence scales and is redistributed in quantum communication protocols, us-ing superdense coding and quantum teleportation as paradigmatic case studies. 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