Reversing Quantum Noise: Quantum Reverse Diffusion for Pauli Channels

Quantum Physics arXiv:2511.15919 (quant-ph) [Submitted on 19 Nov 2025] Title:Reversing Quantum Noise: Quantum Reverse Diffusion for Pauli Channels Authors:Einar Gabbassov View a PDF of the paper titled Reversing Quantum Noise: Quantum Reverse Diffusion for Pauli Channels, by Einar Gabbassov View PDF HTML (experimental) Abstract:The ensemble-averaged dynamics of open quantum systems are typically irreversible. We show that this irreversibility need not hold at the level of individually monitored quantum trajectories. Our main results are quantum reverse diffusion stochastic differential equations, along with corresponding stochastic master equations. These equations describe the exact and approximate reverse diffusion dynamics for continuously monitored Pauli channels, including time-dependent depolarizing noise. Our results bridge the gap between highly nonlinear classical reverse diffusion, prominent in generative modelling, and linear quantum mechanics. Consequently, this establishes a theoretical framework for diffusion-driven quantum gates, quantum tomography via forward-reverse cycles, and potential paradigms for quantum error correction based on reverse diffusion. Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph) Cite as: arXiv:2511.15919 [quant-ph] (or arXiv:2511.15919v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.15919 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Einar Gabbassov [view email] [v1] Wed, 19 Nov 2025 22:57:38 UTC (1,365 KB) Full-text links: Access Paper: View a PDF of the paper titled Reversing Quantum Noise: Quantum Reverse Diffusion for Pauli Channels, by Einar GabbassovView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-11 Change to browse by: math math-ph math.MP 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?)