Information Processing in Quantum Thermodynamic Systems: an Autonomous Hamiltonian Approach
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Quantum Physics arXiv:2511.08858 (quant-ph) [Submitted on 12 Nov 2025] Title:Information Processing in Quantum Thermodynamic Systems: an Autonomous Hamiltonian Approach Authors:Shou-I Tang, Emery Doucet, Akram Touil, Sebastian Deffner, Akira Sone View a PDF of the paper titled Information Processing in Quantum Thermodynamic Systems: an Autonomous Hamiltonian Approach, by Shou-I Tang and Emery Doucet and Akram Touil and Sebastian Deffner and Akira Sone View PDF HTML (experimental) Abstract:Extending the quantum formulation of [Phys. Rev. X 3, 041003 (2013)] to a more general setting for studying the thermodynamics of information processing including initial correlations, we generalize the second law of thermodynamics to account for information processing in such autonomous systems. We consider a composite quantum system consisting of a principal system, heat bath, memory, and work source, and adopt an autonomous Hamiltonian framework. We derive constraints on the total Hamiltonian that ensure the work source to act as a catalyst preserving its original randomness, namely that the total unitary evolution must have a unitary partial transpose. We show that this requirement is equivalent to the commutativity of operators acting on the joint system of the principal system, bath, and memory, which underlies the Hamiltonian structure. Next, we generalize the quantum speed limit for the joint dynamics of system and memory to the quantum thermodynamic speed limit, from which we obtain a dynamical version of Landauer's bound. More importantly, we also interpret this quantum thermodynamic speed limit in the context of quantum hypothesis testing. Comments: Subjects: Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech) Report number: LA-UR-25-30839 Cite as: arXiv:2511.08858 [quant-ph] (or arXiv:2511.08858v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.08858 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Akira Sone [view email] [v1] Wed, 12 Nov 2025 00:29:59 UTC (3,318 KB) Full-text links: Access Paper: View a PDF of the paper titled Information Processing in Quantum Thermodynamic Systems: an Autonomous Hamiltonian Approach, by Shou-I Tang and Emery Doucet and Akram Touil and Sebastian Deffner and Akira SoneView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-11 Change to browse by: cond-mat cond-mat.stat-mech 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?)