Boundary-Aware Validity Framework for Digital Quantum Simulation

Boundary-Aware Validity Framework for Digital Quantum Simulation | 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 Method Article Boundary-Aware Validity Framework for Digital Quantum Simulation Elionai Moura Cordeiro This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9129952/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 Digital quantum simulations are necessarily implemented in finite spatial domains and evaluated over finite temporal windows. While substantial effort has been devoted to controlling algorithmic error and hardware noise, the prior question of inferential admissibility remains under-formalized: when do time-resolved observables remain causally isolated from boundary effects such that spectral conclusions are physically meaningful? In finite systems, boundary influence propagates dynamically and can render late-time data structurally invalid for inference, independently of numerical fidelity. We introduce a boundary-aware validity framework for digital quantum simulation that establishes an operational criterion for inferential gating. The framework identifies measurable boundary markers, determines a causality-safe temporal window, and restricts spectral analysis to data supported by verified causal isolation. This validity layer is formally separated from both dynamics generation and error-mitigation procedures, which are treated as subordinate to inferential admissibility. We demonstrate the framework in a lattice simulation of the relativistic wavepacket dynamics. In small domains, the analysis reveals that no temporally sufficient causally isolated window may exist, thereby prohibiting spectral inference altogether. The proposed approach provides a reproducible methodological layer for finite-domain digital quantum simulations. Computational Physics Software Engineering Digital Quantum Simulation Boundary-Aware Validity Causal Isolation Spectral Inference Finite-Domain Dynamics Inferential Admissibility Full Text Additional Declarations The authors declare no competing interests. Supplementary Files bavdqsframeworksupplementary.pdf Supplementary Material: Boundary-Aware Validity Framework for Digital Quantum Simulation 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-9129952","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Method Article","associatedPublications":[],"authors":[{"id":606396723,"identity":"2a41deb0-a672-4c14-a09c-d381e6643b0c","order_by":0,"name":"Elionai Moura Cordeiro","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABA0lEQVRIiWNgGAWjYDACdsYGICkhx8DAw3AAyGJsYwCJFODRwgzRYgzWcgCipbGBwQCfFgiV2ADUArIGZAIjXi38zMyNjwtqLNL7xc4ePPzhD4NsH//i9gc/8GiRbGZsNp5xTCJ35uy8hAMH2xiM2yQeNjb24NFicJixTZqHTSJ3w+0cgwMHGxgS2yQONjbw4NFiD9byTyLdHqTlwB+IlsY/+GxhBmrhbZNIMJAGaWEDauFvbGzGZ4vEYaBfePskDGfcBvrlbJsE0C+MjbNl8IVYe/vDxzzf6uT5Z+ce/lDxx0Z2fv/xBx/fVODWgmErECUQrxxm8QGStYyCUTAKRsHwBgBoSFTY8chiHgAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0003-4605-1949","institution":"EMBITS.DIGITAL","correspondingAuthor":true,"prefix":"","firstName":"Elionai","middleName":"Moura","lastName":"Cordeiro","suffix":""}],"badges":[],"createdAt":"2026-03-15 16:10:25","currentVersionCode":1,"declarations":{"humanSubjects":false,"vertebrateSubjects":false,"conflictsOfInterestStatement":false,"humanSubjectEthicalGuidelines":false,"humanSubjectConsent":false,"humanSubjectClinicalTrial":false,"humanSubjectCaseReport":false,"vertebrateSubjectEthicalGuidelines":false},"doi":"10.21203/rs.3.rs-9129952/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-9129952/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":104802400,"identity":"3c7a08d5-e935-4b50-a653-122aa9fefa21","added_by":"auto","created_at":"2026-03-17 10:52:38","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":240714,"visible":true,"origin":"","legend":"","description":"","filename":"bavdqsframeworkpreprint.pdf","url":"https://assets-eu.researchsquare.com/files/rs-9129952/v1_covered_4b0788e8-1731-4b3f-84bd-ad125248cb70.pdf"},{"id":104802399,"identity":"9fb64a3e-f9b0-440f-90f1-b66d694035b5","added_by":"auto","created_at":"2026-03-17 10:52:33","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":508317,"visible":true,"origin":"","legend":"\u003cp\u003eSupplementary Material: Boundary-Aware Validity Framework for Digital Quantum Simulation\u003c/p\u003e","description":"","filename":"bavdqsframeworksupplementary.pdf","url":"https://assets-eu.researchsquare.com/files/rs-9129952/v1/bab5870c59c8d7967de34590.pdf"}],"financialInterests":"The authors declare no competing interests.","formattedTitle":"\u003cp\u003eBoundary-Aware Validity Framework for Digital Quantum Simulation\u003c/p\u003e","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":"Digital Quantum Simulation, Boundary-Aware Validity, Causal Isolation, Spectral Inference, Finite-Domain Dynamics, Inferential Admissibility","lastPublishedDoi":"10.21203/rs.3.rs-9129952/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-9129952/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eDigital quantum simulations are necessarily implemented in finite spatial domains and evaluated over finite temporal windows. While substantial effort has been devoted to controlling algorithmic error and hardware noise, the prior question of inferential admissibility remains under-formalized: when do time-resolved observables remain causally isolated from boundary effects such that spectral conclusions are physically meaningful? In finite systems, boundary influence propagates dynamically and can render late-time data structurally invalid for inference, independently of numerical fidelity. We introduce a boundary-aware validity framework for digital quantum simulation that establishes an operational criterion for inferential gating. The framework identifies measurable boundary markers, determines a causality-safe temporal window, and restricts spectral analysis to data supported by verified causal isolation. This validity layer is formally separated from both dynamics generation and error-mitigation procedures, which are treated as subordinate to inferential admissibility. We demonstrate the framework in a lattice simulation of the relativistic wavepacket dynamics. In small domains, the analysis reveals that no temporally sufficient causally isolated window may exist, thereby prohibiting spectral inference altogether. The proposed approach provides a reproducible methodological layer for finite-domain digital quantum simulations.\u003c/p\u003e","manuscriptTitle":"Boundary-Aware Validity Framework for Digital Quantum Simulation","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2026-03-17 10:52:25","doi":"10.21203/rs.3.rs-9129952/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":"5e981728-e708-4f70-b082-5cb56f5324f4","owner":[],"postedDate":"March 17th, 2026","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":64645926,"name":"Computational Physics"},{"id":64645927,"name":"Software Engineering"}],"tags":[],"updatedAt":"2026-03-17T10:52:26+00:00","versionOfRecord":[],"versionCreatedAt":"2026-03-17 10:52:25","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-9129952","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-9129952","identity":"rs-9129952","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}