Measure and Forget Dynamics in Random Circuits

Quantum Physics arXiv:2511.21866 (quant-ph) [Submitted on 26 Nov 2025] Title:Measure and Forget Dynamics in Random Circuits Authors:Yucheng He, Todd A. Brun View a PDF of the paper titled Measure and Forget Dynamics in Random Circuits, by Yucheng He and Todd A. Brun View PDF HTML (experimental) Abstract:"Forgetful" measurements-physically similar to dephasing-are of interest both for applications to fault-tolerant quantum computing and fundamentally, in studying how entanglement and entropy spread. This paper investigates measurement-induced phase transitions (MIPT) in random Clifford circuits when measurement outcomes are partially forgotten. Our findings reveal a local thermalization rate that remains constant regardless of system size. We also numerically calculate the decay behavior at the turning points in the entropy diagram. We observe a counterintuitive phenomenon where the entropy reaches a threshold and stops evolving, even as the system size increases. This challenges an intuition, drawn from previous studies of noisy random circuits, that noise will cause the thermalization of the whole system. Additionally, we identify the disappearance of the purification transition and discuss the implications of these entanglement dynamics for quantum error-correction codes. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2511.21866 [quant-ph] (or arXiv:2511.21866v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.21866 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Yucheng He [view email] [v1] Wed, 26 Nov 2025 19:44:44 UTC (2,158 KB) Full-text links: Access Paper: View a PDF of the paper titled Measure and Forget Dynamics in Random Circuits, by Yucheng He and Todd A. BrunView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-11 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?)