Continuous-time evolution via probabilistic angle interpolation and its applications

Quantum Physics [Submitted on 3 Apr 2026] Continuous-time evolution via probabilistic angle interpolation and its applications Tomoya Hayata, Yuta Kikuchi 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: 9 pages, 7 figures 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 Submission history From: Yuta Kikuchi [view email] [v1] Fri, 3 Apr 2026 08:15:13 UTC (774 KB) Access Paper: view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-04 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation 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 Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)