The Lieb-Robinson correlation function for long disordered transverse-field Ising chains

Quantum Physics arXiv:2512.22395 (quant-ph) [Submitted on 26 Dec 2025] Title:The Lieb-Robinson correlation function for long disordered transverse-field Ising chains Authors:Brendan J. Mahoney, Craig S. Lent View a PDF of the paper titled The Lieb-Robinson correlation function for long disordered transverse-field Ising chains, by Brendan J. Mahoney and Craig S. Lent View PDF HTML (experimental) Abstract:The transverse-field Ising model is useful for studying interacting qubit arrays. The Lieb--Robinson correlation function can be used to characterize the propagation of quantum information in Ising chains. Considerable work has been done to establish bounds on this correlation function in various circumstances. To actually calculate the value of the correlation function directly typically requires a state space which grows exponentially with system size, and so is intractable for all but relatively small systems. We employ a recently-developed method that enables direct calculation of the value of the Lieb--Robinson correlation function and which scales linearly with system size. This enables the computation for systems with many hundreds of qubits, revealing the propagation of quantum information down the chain. We extend this technique to the problem of Ising chains with randomly disordered coupling strengths. Increasing disorder causes localization of the quantum correlations and halts propagation of quantum information. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2512.22395 [quant-ph] (or arXiv:2512.22395v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2512.22395 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Craig Lent [view email] [v1] Fri, 26 Dec 2025 22:03:37 UTC (1,306 KB) Full-text links: Access Paper: View a PDF of the paper titled The Lieb-Robinson correlation function for long disordered transverse-field Ising chains, by Brendan J. Mahoney and Craig S. LentView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-12 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?)