Investigation of non-Markovian dynamics due to parasitic couplings in a cQED system

Investigation of non-Markovian dynamics due to parasitic couplings in a cQED system | 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 Investigation of non-Markovian dynamics due to parasitic couplings in a cQED system Guru Aravind, Baladitya Suri This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7614432/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 9 You are reading this latest preprint version Abstract In small-scale superconducting quantum processors based on the circuit quantum electrodynamics (cQED) architecture, the qubit is typically modeled as coupled to a broad-band, structure-less environment (frequency-independent or slowly varying in frequency), leading to dynamics that is well-approximated by the Markovian approximation. This approximation is usually facilitated by the large detuning between the qubit and the read-out resonator. However, when these systems are scaled up, parasitic couplings between a given qubit and the read-out resonators of the other qubits become unavoidable. In such a case, a qubit experiences a structured (frequency-dependent) environment of the parasitic resonators, some of which may have small detunings, thereby leading to the break-down of the Markovian approximation. In this article, we numerically investigate the effect of such parasitic modes coupled to a qubit for parameters typical of cQED systems. We observe that non-Markovian effects become more pronounced as the resonators are populated with more photons, suggesting that readout of one qubit can parasitically induce non-Markovian behavior in neighboring qubits. We qualitatively analyze the dependence of non-Markovianity on system parameters such as photon number, coupling strength, and detuning, and identify distinct regimes, hence characterizing the non-Markovian behaviour which is quantified using simulations computing the trace-distance metric. circuit QED non-Markovian dynamics open quantum systems Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 15 Mar, 2026 Reviews received at journal 10 Mar, 2026 Reviewers agreed at journal 07 Feb, 2026 Reviewers agreed at journal 22 Nov, 2025 Reviewers agreed at journal 25 Oct, 2025 Reviewers invited by journal 16 Oct, 2025 Editor assigned by journal 20 Sep, 2025 Submission checks completed at journal 15 Sep, 2025 First submitted to journal 14 Sep, 2025 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-7614432","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":535044104,"identity":"5d94e59f-35d5-4683-aedd-8491d8624df9","order_by":0,"name":"Guru Aravind","email":"","orcid":"","institution":"Indian Institute of Science Bangalore","correspondingAuthor":false,"prefix":"","firstName":"Guru","middleName":"","lastName":"Aravind","suffix":""},{"id":535044105,"identity":"2afb3d43-c2f1-4622-97b0-b29a558a67e3","order_by":1,"name":"Baladitya 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Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"circuit QED, non-Markovian dynamics, open quantum systems","lastPublishedDoi":"10.21203/rs.3.rs-7614432/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7614432/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn small-scale superconducting quantum processors based on the circuit quantum electrodynamics (cQED) architecture, the qubit is typically modeled as coupled to a broad-band, structure-less environment (frequency-independent or slowly varying in frequency), leading to dynamics that is well-approximated by the Markovian approximation. This approximation is usually facilitated by the large detuning between the qubit and the read-out resonator. However, when these systems are scaled up, parasitic couplings between a given qubit and the read-out resonators of the other qubits become unavoidable. In such a case, a qubit experiences a structured (frequency-dependent) environment of the parasitic resonators, some of which may have small detunings, thereby leading to the break-down of the Markovian approximation. In this article, we numerically investigate the effect of such parasitic modes coupled to a qubit for parameters typical of cQED systems. We observe that non-Markovian effects become more pronounced as the resonators are populated with more photons, suggesting that readout of one qubit can parasitically induce non-Markovian behavior in neighboring qubits. We qualitatively analyze the dependence of non-Markovianity on system parameters such as photon number, coupling strength, and detuning, and identify distinct regimes, hence characterizing the non-Markovian behaviour which is quantified using simulations computing the trace-distance metric.\u003c/p\u003e","manuscriptTitle":"Investigation of non-Markovian dynamics due to parasitic couplings in a cQED system","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-10-30 10:54:36","doi":"10.21203/rs.3.rs-7614432/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2026-03-15T06:17:07+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2026-03-10T18:52:57+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"2502449619467449006824831864750532779","date":"2026-02-07T07:57:45+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"212743494509075484820694143867992321764","date":"2025-11-22T08:32:51+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"128303141661965354199267851256691923513","date":"2025-10-25T07:33:41+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-10-16T08:23:23+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-09-20T15:07:50+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2025-09-15T08:56:09+00:00","index":"","fulltext":""},{"type":"submitted","content":"Quantum Information Processing","date":"2025-09-14T19:25:19+00:00","index":"","fulltext":""}],"status":"published","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}}],"origin":"","ownerIdentity":"8473ca73-8660-4354-bc9e-915a0af355b8","owner":[],"postedDate":"October 30th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2026-04-30T03:39:49+00:00","versionOfRecord":[],"versionCreatedAt":"2025-10-30 10:54:36","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7614432","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7614432","identity":"rs-7614432","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}