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Many-Body Time Evolution from a Correlation-Efficient Quantum Algorithm

Michael Rose, David A. Mazziotti
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⚡ Quantum Brief
Researchers Michael Rose and David A. Mazziotti introduced a novel quantum algorithm called CETE that simplifies simulating complex many-body quantum dynamics by treating time evolution as a static correlation problem. CETE starts with a mean-field approximation and applies a single correlation step per time evolution, unlike traditional methods that repeatedly correlate and decorrelate, reducing quantum circuit depth significantly. The algorithm derives from contracting the time-dependent Schrödinger equation onto two-electron interactions, offering an exact ansatz for efficient quantum simulation on near-term devices. A proof-of-concept demonstrated CETE’s effectiveness by accurately simulating the hydrogen molecule’s electronic wavefunction, showcasing its potential for strongly correlated systems. This breakthrough could extend accessible simulation times on noisy intermediate-scale quantum computers, addressing a key bottleneck in quantum chemistry and materials science.
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Quantum Physics arXiv:2511.13871 (quant-ph) [Submitted on 17 Nov 2025] Title:Many-Body Time Evolution from a Correlation-Efficient Quantum Algorithm Authors:Michael Rose, David A. Mazziotti View a PDF of the paper titled Many-Body Time Evolution from a Correlation-Efficient Quantum Algorithm, by Michael Rose and David A. Mazziotti View PDF HTML (experimental) Abstract:We introduce the correlation-efficient time-evolution (CETE) algorithm for simulating quantum many-body dynamics. CETE recasts each step of time evolution as a time-independent correlation problem: the ansatz begins from a mean-field single Slater determinant and is then correlated to capture the true time-evolved state. We derive this exact ansatz from a contraction of the time-dependent Schrödinger equation onto the space of two electrons. Unlike conventional evolution by sequential short-time propagators, which must both correlate and decorrelate the state as the degree of correlation fluctuates in time, CETE correlates only once. This substantially reduces circuit depth, extending accessible simulation times on near-term quantum devices. We demonstrate the approach by simulating the time evolution of the hydrogen molecule's electronic wavefunction, highlighting the potential for the CETE algorithm to simulate strongly correlated systems on near-term devices. Subjects: Quantum Physics (quant-ph); Classical Physics (physics.class-ph); Computational Physics (physics.comp-ph) Cite as: arXiv:2511.13871 [quant-ph] (or arXiv:2511.13871v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.13871 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: David Mazziotti [view email] [v1] Mon, 17 Nov 2025 19:40:44 UTC (148 KB) Full-text links: Access Paper: View a PDF of the paper titled Many-Body Time Evolution from a Correlation-Efficient Quantum Algorithm, by Michael Rose and David A. MazziottiView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-11 Change to browse by: physics physics.class-ph physics.comp-ph 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?)

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