Setting angles in quantum approximate optimization at utility-scale
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Quantum Physics arXiv:2606.05311 (quant-ph) [Submitted on 3 Jun 2026] Title:Setting angles in quantum approximate optimization at utility-scale Authors:Maosheng Guo, Joel Jurado Diaz, Anurag Ramesh, Conrad J. Haupt, Alberto Baiardi, Dimitrios Athanasakos, M. Emre Sahin, Oscar Wallis, George Pennington, Christian Arenz, Sebastian Brandhofer, Georgios Korpas, Ieva Čepaitė, J. A. Montañez-Barrera, Jakub Marecek, Davide Venturelli, Stephan Eidenbenz, David E. Bernal Neira, Daniel J. Egger View a PDF of the paper titled Setting angles in quantum approximate optimization at utility-scale, by Maosheng Guo and 18 other authors View PDF Abstract:The quantum approximate optimization algorithm (QAOA) is a powerful heuristic that seeks to solve combinatorial optimization problems using quantum hardware and classical optimization in tandem. Various methods exist to train the parameterized quantum circuits that serve as an ansatz in QAOA. However, which method works best to identify optimal angles for a given problem instance remains poorly understood, especially at utility-scale, i.e., $100$ qubits or more. In this work, we address this challenge through utility-scale benchmarks from which we distill operational guidance for QAOA practitioners. First, we investigate approximation techniques, such as matrix product states and Pauli propagation, to find optimal angles. Second, we train QAOA on small-scale representative problems and transfer the angles to larger ones. We then validate the results on quantum hardware for utility-scale problem instances that can be meaningfully executed. In this way, we identify insights for QAOA angle setting strategies that work best for problems at the utility scale, including as a function of resource cost for the search. Crucially, the operational implications we draw from our benchmarks will help quantum optimization practitioners execute QAOA end-to-end pipelines efficiently on current and future hardware. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2606.05311 [quant-ph] (or arXiv:2606.05311v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2606.05311 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Daniel Egger [view email] [v1] Wed, 3 Jun 2026 18:02:26 UTC (2,261 KB) Full-text links: Access Paper: View a PDF of the paper titled Setting angles in quantum approximate optimization at utility-scale, by Maosheng Guo and 18 other authorsView PDFTeX Source view license Current browse context: quant-ph new | recent | 2026-06 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?)