Deterministic quantum master equation for non-Markovian signal processing
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Quantum Physics arXiv:2603.22686 (quant-ph) [Submitted on 24 Mar 2026] Title:Deterministic quantum master equation for non-Markovian signal processing Authors:Guilherme de Sousa, Diogo O. Soares-Pinto View a PDF of the paper titled Deterministic quantum master equation for non-Markovian signal processing, by Guilherme de Sousa and 1 other authors View PDF HTML (experimental) Abstract:In this work, we derive a deterministic master equation to model a general, possibly non-Markovian, feedback. The master equation describes a system with a general evolution and measurement operation, with feedback being applied in terms of signal processing. The feedback signal has an arbitrary structure with dimensionality that indicates the degree of non-Markovianity of the information processing. We present examples to illustrate how such a master equation can be used to model systems with memory feedback and non-trivial frequency dependence. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.22686 [quant-ph] (or arXiv:2603.22686v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.22686 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Guilherme De Sousa [view email] [v1] Tue, 24 Mar 2026 01:26:38 UTC (83 KB) Full-text links: Access Paper: View a PDF of the paper titled Deterministic quantum master equation for non-Markovian signal processing, by Guilherme de Sousa and 1 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-03 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?)