Quantum Circuits as a Dynamical Resource to Learn Nonequilibrium Long-Range Order
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Quantum Physics arXiv:2602.16788 (quant-ph) [Submitted on 18 Feb 2026] Title:Quantum Circuits as a Dynamical Resource to Learn Nonequilibrium Long-Range Order Authors:Fabian Ballar Trigueros, Markus Heyl View a PDF of the paper titled Quantum Circuits as a Dynamical Resource to Learn Nonequilibrium Long-Range Order, by Fabian Ballar Trigueros and 1 other authors View PDF HTML (experimental) Abstract:Equilibrium statistical ensembles impose stringent constraints on phases of quantum matter. For example, the Mermin-Wagner theorem prohibits long-range order in low-dimensional systems beyond the ground state. Here, we show that quantum circuits can learn states of matter with long-range order that are inaccessible in equilibrium. We construct variational quantum circuits that generate symmetry-broken and symmetry-protected topological states with long-range order in one-dimensional systems at finite energy density, where equilibrium states are typically featureless. Importantly, the learned states can exhibit unconventional features with enhanced metrological properties such as a quantum Fisher information close to a GHZ state, but robust against local measurements. Our work establishes coherent quantum dynamics as a powerful resource for engineering nonequilibrium phases of matter, opening a path toward a broader dynamical scope of quantum order beyond the constraints of equilibrium ensembles. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2602.16788 [quant-ph] (or arXiv:2602.16788v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2602.16788 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Fabian Ballar-Trigueros [view email] [v1] Wed, 18 Feb 2026 19:00:07 UTC (1,868 KB) Full-text links: Access Paper: View a PDF of the paper titled Quantum Circuits as a Dynamical Resource to Learn Nonequilibrium Long-Range Order, by Fabian Ballar Trigueros and 1 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-02 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?)