Extracting filtered signal statistics of continuously measured quantum systems

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dc.contributor.authorKiely, Anthony
dc.contributor.authorLandi, Gabriel
dc.contributor.funderTaighde Éireann - Research Ireland
dc.date.accessioned2026-05-29T15:50:02Z
dc.date.available2026-05-29T15:50:02Z
dc.date.issued2026-03-25
dc.description.abstractThe joint state of a continuously monitored quantum system and the classical filtered measurement record has recently been shown to be described by a quantum Fokker-Planck master equation [Phys. Rev. Lett. 129, 050401 (2022)]. We present a deterministic approach to compute the steady state of the system and detector. The method is shown to become particularly efficient in the absence of feedback, which we exploit to develop a perturbative approach valid for weak feedback. We show that through this method we can extract the full counting statistics of the signal, the quantum-classical mutual information between the system and signal, and the Fisher information of the signal, which can be used for sensing applications. Our results are illustrated with both single-qubit models and the spin chains governed by the one-dimensional transverse field Ising model or the Lipkin-Meshkov-Glick model.en
dc.description.sponsorshipTaighde Éireann–Research Ireland under Grant No. 24/PATHS/12701
dc.description.versionPublished Version
dc.format.extent12
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid032442
dc.identifier.authororcidKiely, Anthony
dc.identifier.authororcidLandi, Gabriel
dc.identifier.citationKiely, A & Landi, G 2026, 'Extracting filtered signal statistics of continuously measured quantum systems', Physical Review A, vol. 113, no. 3, 032442, pp. 1-12. https://doi.org/10.1103/yxqg-93jz
dc.identifier.doi10.1103/yxqg-93jz
dc.identifier.endpage12
dc.identifier.issn2469-9926
dc.identifier.issued3
dc.identifier.journaltitlePhysical Review A
dc.identifier.otherRIS: urn:16A88724AE613E31BA56C394B4B07016
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/10468/18937
dc.identifier.volume113
dc.language.isoen
dc.publisherAmerican Physical Society
dc.relation.urihttps://www.scopus.com/pages/publications/105036632950
dc.relation.urihttps://www.scopus.com/pages/publications/105036632950?origin=resultslist
dc.rights© 2026, the Authors. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
dc.rights.accessrightsopen access
dc.rights.licensenameAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.statusPeer reviewed
dc.subjectDeterministic approach
dc.subjectFiltered signals
dc.subjectFisher information matrix
dc.subjectFokker Planck
dc.subjectFokker Planck equation
dc.subjectFull counting statistics
dc.subjectMaster equations
dc.subjectPerturbative approach
dc.subjectQuantum optics
dc.subjectQuantum system
dc.subjectQuantum-classical
dc.subjectQubits
dc.subjectSignal processing
dc.subjectSignals statistics
dc.subjectSteady state
dc.subject[Physics]
dc.titleExtracting filtered signal statistics of continuously measured quantum systemsen
dc.typeArticle (peer-reviewed)
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