Complexity and Information in Quantum and Classical Trajectories

Quantum Physics arXiv:2512.19848 (quant-ph) [Submitted on 22 Dec 2025] Title:Complexity and Information in Quantum and Classical Trajectories Authors:Hira Ali, Naeem Shahid View a PDF of the paper titled Complexity and Information in Quantum and Classical Trajectories, by Hira Ali and Naeem Shahid View PDF HTML (experimental) Abstract:We analyze emission trajectories from a driven-dissipative two-qubit system and a classical telegraph model with matched rates. Using Lempel-Ziv complexity, mutual information, and temporal correlations, we show that both models undergo a transition from independent to synchronized dynamics as coupling increases, but only the quantum trajectories develop enhanced complexity and sustained information sharing at large drive-to-decay ratio. Classical correlations are short-lived and quickly suppressed by strong drive. A strong complexity-information correlation appears uniquely in the quantum case, providing a clear trajectory-level signature of quantum effects. These results show that complexity and information measures extracted directly from jump records provide an efficient way to distinguish quantum and classical dynamics in open systems. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2512.19848 [quant-ph] (or arXiv:2512.19848v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2512.19848 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Muhammad Shahid [view email] [v1] Mon, 22 Dec 2025 20:03:41 UTC (1,106 KB) Full-text links: Access Paper: View a PDF of the paper titled Complexity and Information in Quantum and Classical Trajectories, by Hira Ali and Naeem ShahidView 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?)