Stronger hierarchy between local quantum uncertainty and local quantum Fisher information potentials

Stronger hierarchy between local quantum uncertainty and local quantum Fisher information potentials | 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 Stronger hierarchy between local quantum uncertainty and local quantum Fisher information potentials Qinglong Tian, youneng Guo This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9017793/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 4 You are reading this latest preprint version Abstract Inspired by previous studies on entanglement potentials as measures of nonclassicality for single-mode optical states, this work introduces two novel quantifiers based on local quantum uncertainty potential(LQUP) and local quantum Fisher information potential(LQFIP). These two related potentials are employed to characterize the nonclassical nature of single-mode optical fields beyond conventional entanglement-based measures and exhibit similar trends. In particular, the relationship between LQFIP and LQUP is revealed. The exact lower and upper bounds of LQFIP versus LQUP are obtained for a specific class of nonclassical states, and the respective states which saturate those bounds are also characterized. This allows us to establish a strong hierarchy of nonclassicality for single-qubit optical states, mapped directly from the hierarchy of two-qubit quantum correlations. Our findings not only provide new tools for quantifying nonclassicality but also deepen the understanding of quantum resources in optical systems, with potential applications in quantum metrology and information processing. PACS numbers: 03.65.Ta, 03.67.-a, 03.65.Yz Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Reviewers invited by journal 06 May, 2026 Editor assigned by journal 05 Mar, 2026 Submission checks completed at journal 05 Mar, 2026 First submitted to journal 03 Mar, 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. 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-9017793","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":635518202,"identity":"ddff69fe-48cf-412b-a733-d6adeb890211","order_by":0,"name":"Qinglong Tian","email":"","orcid":"","institution":"Changsha University","correspondingAuthor":false,"prefix":"","firstName":"Qinglong","middleName":"","lastName":"Tian","suffix":""},{"id":635518204,"identity":"79e59cc7-51d7-4e07-8464-b3da21e049f3","order_by":1,"name":"youneng Guo","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA6klEQVRIiWNgGAWjYDADfmbG9h8fDGzsiNci2d58QHJGQVoy8VoMzhxLkOb5cIixgZBK+YjkY9K8bXZ5DDdyDIxtDA4wM7AfProBnxbDG2nJxrxtycWMM3IMknMM7vAx8KSl3cCrZUaO4WPeNubEZokcg8M5Bs+YGSR4zAhpMTjM21af2CaRY9hsYXCYsYGQFnkJsC2HE3t4jiUzMxCjxYDnWbLhnHPHE2ewNx9j7DFIS2Yj5Bf59uRjEm/KqhP3H2ZsY/jxx8aOn/3wMfy2HAASjGxIImw4VCJsaQCRfwgpGwWjYBSMghENAAYjStguh+ciAAAAAElFTkSuQmCC","orcid":"","institution":"Changsha University","correspondingAuthor":true,"prefix":"","firstName":"youneng","middleName":"","lastName":"Guo","suffix":""}],"badges":[],"createdAt":"2026-03-03 08:23:42","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-9017793/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-9017793/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":109290921,"identity":"c09a209f-ff46-4cd0-8bf0-be86be4fda65","added_by":"auto","created_at":"2026-05-15 07:27:43","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":924524,"visible":true,"origin":"","legend":"","description":"","filename":"2026.pdf","url":"https://assets-eu.researchsquare.com/files/rs-9017793/v1_covered_dcf3c971-f6de-473b-aff6-72aa6e2a0780.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Stronger hierarchy between local quantum uncertainty and local quantum Fisher information potentials","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-9017793/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-9017793/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eInspired by previous studies on entanglement potentials as measures of nonclassicality for single-mode optical states, this work introduces two novel quantifiers based on local quantum uncertainty potential(LQUP) and local quantum Fisher information potential(LQFIP). These two related potentials are employed to characterize the nonclassical nature of single-mode optical fields beyond conventional entanglement-based measures and exhibit similar trends. In particular, the relationship between LQFIP and LQUP \u0026nbsp;is revealed. The exact lower and upper bounds of LQFIP versus LQUP are obtained for a specific class of nonclassical states, and the respective states which saturate those bounds are also characterized. This allows us to establish a strong hierarchy of nonclassicality for single-qubit optical states, mapped directly from the hierarchy of two-qubit quantum correlations. 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