Attractor Subspace and Decoherence-Free Algebra of Quantum Dynamics

Quantum Physics arXiv:2511.18021 (quant-ph) [Submitted on 22 Nov 2025] Title:Attractor Subspace and Decoherence-Free Algebra of Quantum Dynamics Authors:Daniele Amato, Paolo Facchi, Arturo Konderak View a PDF of the paper titled Attractor Subspace and Decoherence-Free Algebra of Quantum Dynamics, by Daniele Amato and 2 other authors View PDF HTML (experimental) Abstract:In this review we discuss some results on the asymptotic dynamics of finite-dimensional open quantum systems in the Heisenberg picture. Both the spectral and algebraic approaches to this topic are addressed, with particular emphasis on their relationship. The analysis is conducted in both the discrete-time and the continuous-time Markovian settings. In the final part of the work, some issues emerging in the infinite-dimensional case are also discussed. In particular, we provide an example of a Markovian evolution whose decoherence-free algebra is a type III von Neumann algebra. Comments: Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph) Cite as: arXiv:2511.18021 [quant-ph] (or arXiv:2511.18021v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.18021 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Journal reference: In: Singularities, Asymptotics, and Limiting Models. Springer INdAM Series, vol 64. Springer, Singapore (2025) Related DOI: https://doi.org/10.1007/978-981-96-3584-9_3 Focus to learn more DOI(s) linking to related resources Submission history From: Daniele Amato [view email] [v1] Sat, 22 Nov 2025 11:18:39 UTC (38 KB) Full-text links: Access Paper: View a PDF of the paper titled Attractor Subspace and Decoherence-Free Algebra of Quantum Dynamics, by Daniele Amato and 2 other authorsView 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?)