Continuous-time evolution via probabilistic angle interpolation and its applications
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Quantum Physics arXiv:2604.02854 (quant-ph) [Submitted on 3 Apr 2026] Title:Continuous-time evolution via probabilistic angle interpolation and its applications Authors:Tomoya Hayata, Yuta Kikuchi View a PDF of the paper titled Continuous-time evolution via probabilistic angle interpolation and its applications, by Tomoya Hayata and 1 other authors View PDF Abstract:We explore the applicability of a stochastic time-evolution algorithm based on probabilistic angle interpolation. To simplify the pre-processing of the algorithm, we take the continuous-time limit, thereby explicitly eliminating Trotter errors and streamlining the resource analysis. We also introduce a noise-mitigation method tailored to it. As demonstrations, we apply the algorithm to two representative problems: estimating the ground-state energy of the $H_3^+$ molecular Hamiltonian and computing out-of-time-ordered correlators in the sparse Sachdev--Ye--Kitaev model. We evaluate the protocol's performance through numerical simulations and experiments on a trapped-ion quantum computer, Quantinuum Reimei. Comments: Subjects: Quantum Physics (quant-ph) Report number: RIKEN-iTHEMS-Report-26 Cite as: arXiv:2604.02854 [quant-ph] (or arXiv:2604.02854v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.02854 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Yuta Kikuchi [view email] [v1] Fri, 3 Apr 2026 08:15:13 UTC (774 KB) Full-text links: Access Paper: View a PDF of the paper titled Continuous-time evolution via probabilistic angle interpolation and its applications, by Tomoya Hayata and 1 other authorsView PDFTeX Source view license Current browse context: quant-ph new | recent | 2026-04 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?) 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?)