Entanglement Dynamics of Photon-Added Quasi-Bell Coherent States

Entanglement Dynamics of Photon-Added Quasi-Bell Coherent States | 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 Short Report Entanglement Dynamics of Photon-Added Quasi-Bell Coherent States Mounaim Hamdoune, Mohammed daoud This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7455579/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 Photon-added coherent states (PACS) represent a critical bridge between classical coherent states and quantum Fock states, exhibiting non-classical properties such as squeezing and sub-Poissonian statistics. In this work, we investigate the entanglement properties of quasi-Bell states constructed from photon-added coherent states, with a focus on the concurrence and entanglement of formation under varying photon excitation numbers m and coherent state amplitudes |α|. By leveraging the mathematical framework of Glauber’s coherent states and Laguerre polynomial normalization, we derive analytical expressions for the overlap between |α, m⟩ and | − α, m⟩, and analyze their suitability for qubit encoding. Our results reveal that for |α| ≥ 2, these states approximate orthogonal logical qubits, while smaller amplitudes exhibit m-dependent entanglement degradation. Numerical simulations demonstrate that entanglement of formation E12 approaches unity for large |α|, independent of m, but diminishes with increasing m in the weak-field regime (|α| 2 < 1.5). These findings advance the understanding of photon-added states in quantum information protocols, offering insights into decoherence mitigation and resource-efficient qubit design. Atomic and Molecular Physics Theoretical Computer Science Information Theory Thermodynamics and statistical mechanics Entanglement dynamics Photon-added states Quasi-Bell states Coherent states Quantum information Full Text Additional Declarations The authors declare no competing interests. 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. 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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-7455579","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Short Report","associatedPublications":[],"authors":[{"id":505381907,"identity":"b1357061-0dec-4208-ba56-fda8f8e17148","order_by":0,"name":"Mounaim Hamdoune","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA8UlEQVRIiWNgGAWjYNACA4YEMAkEciDiwANStBiDtSQQYQ9cS2IDjIsL6Lb3mD34UbAtj3/a4Y2PeXfYpM8PO/wQaIudnG4Ddi1mZ86YG/YY3C6WuJ1WbMx7Ji134+00A6CWZGOzAzi03Mgxk+AxuJ3YcDvHTJq37XDuxtkJIC0HErfh0SL5B6hlPkTL/3TD2ekfCGqRBtmyAaLlQIK8dA4BW84cK5OWAWoBeqHYcG5bsuEG6ZyCAwkGePxyvHmb5Js/txPn3U7e+OBtm528/Oz0zR8+VNjJ4dKCCQzAKg2IVQ4C8g2kqB4Fo2AUjIKRAABS62Z2dHVcyQAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0009-0003-2248-822X","institution":"University Ibn-Tofail Kénitra Morocco","correspondingAuthor":true,"prefix":"","firstName":"Mounaim","middleName":"","lastName":"Hamdoune","suffix":""},{"id":505381908,"identity":"06f54bdd-c14d-4da7-9e7a-91ef2486ce3c","order_by":1,"name":"Mohammed daoud","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Mohammed","middleName":"","lastName":"daoud","suffix":""}],"badges":[],"createdAt":"2025-08-25 16:19:26","currentVersionCode":1,"declarations":{"humanSubjects":true,"vertebrateSubjects":true,"conflictsOfInterestStatement":false,"humanSubjectEthicalGuidelines":true,"humanSubjectConsent":true,"humanSubjectClinicalTrial":false,"humanSubjectCaseReport":false,"vertebrateSubjectEthicalGuidelines":true},"doi":"10.21203/rs.3.rs-7455579/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7455579/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":89918090,"identity":"fce1777c-6475-4705-ab86-1c2e86d415be","added_by":"auto","created_at":"2025-08-26 12:15:00","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1700093,"visible":true,"origin":"","legend":"","description":"","filename":"P3.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7455579/v1_covered_16d9d206-7e51-4604-abc3-6dbcd7000ffa.pdf"}],"financialInterests":"The authors declare no competing interests.","formattedTitle":"\u003cp\u003eEntanglement Dynamics of Photon-Added Quasi-Bell\r\u003cbr\u003e\nCoherent States\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"Université Ibn-Tofail Kénitra ","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":"Entanglement dynamics, Photon-added states, Quasi-Bell states, Coherent states, Quantum information","lastPublishedDoi":"10.21203/rs.3.rs-7455579/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7455579/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003ePhoton-added coherent states (PACS) represent a critical bridge between classical coherent states and quantum Fock states, exhibiting non-classical properties such as squeezing and sub-Poissonian statistics. In this work, we investigate the entanglement properties of quasi-Bell states constructed from photon-added coherent states, with a focus on the concurrence and entanglement of formation under varying photon excitation numbers m and coherent state amplitudes |α|. By leveraging the mathematical framework of Glauber’s coherent states and Laguerre polynomial normalization, we derive analytical expressions for the overlap between |α, m⟩ and | − α, m⟩, and analyze their suitability for qubit encoding. Our results reveal that for |α| ≥ 2, these states approximate orthogonal logical qubits, while smaller amplitudes exhibit m-dependent entanglement degradation. Numerical simulations demonstrate that entanglement of formation E12 approaches unity for large |α|, independent of m, but diminishes with increasing m in the weak-field regime (|α|\u003csup\u003e2\u003c/sup\u003e \u0026lt; 1.5). 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