Deterministic Equations for Feedback Control of Open Quantum Systems III: Full counting statistics for jump-based feedback
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Quantum Physics arXiv:2512.11078 (quant-ph) [Submitted on 11 Dec 2025] Title:Deterministic Equations for Feedback Control of Open Quantum Systems III: Full counting statistics for jump-based feedback Authors:Alberto J. B. Rosal, Guilherme Fiusa, Patrick P. Potts, Gabriel T. Landi View a PDF of the paper titled Deterministic Equations for Feedback Control of Open Quantum Systems III: Full counting statistics for jump-based feedback, by Alberto J. B. Rosal and 3 other authors View PDF HTML (experimental) Abstract:In this work, we consider a general feedback protocol based on quantum-jump detections, where the last detected jump channel is stored in a memory and subsequently used to implement a feedback action, such as modifying the system Hamiltonian conditioned on the last jump. We show that the time evolution of this general protocol can be described by a Lindblad master equation defined in a hybrid classical-quantum space, where the classical part encodes the stored measurement record (memory) and the quantum part represents the monitored system. Moreover, we show that this new representation can be used to fully characterize the counting statistics of a system subject to a general jump-based feedback protocol. We apply the formalism to a three-level system coupled to two thermal baths operating as a thermal machine, and we show that jump-based feedback can be used to convert the information obtained from the jump detections into work. Our framework provides analytical tools that enable the characterization of key statistical properties of any counting observable under jump-based feedback, such as the average current, noise, correlation functions, and power spectrum. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2512.11078 [quant-ph] (or arXiv:2512.11078v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2512.11078 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Alberto Jonatas Bezerra Rosal [view email] [v1] Thu, 11 Dec 2025 19:47:17 UTC (228 KB) Full-text links: Access Paper: View a PDF of the paper titled Deterministic Equations for Feedback Control of Open Quantum Systems III: Full counting statistics for jump-based feedback, by Alberto J. B. Rosal and 3 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-12 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)