Resource-Aware Quantum Programming with General Recursion and Quantum Control

[2510.20452] Resource-Aware Quantum Programming with General Recursion and Quantum Control Skip to main content Search Submit Donate Log in Computer Science > Logic in Computer Science arXiv:2510.20452 (cs) [Submitted on 23 Oct 2025 ( v1 ), last revised 16 Feb 2026 (this version, v2)] Title: Resource-Aware Quantum Programming with General Recursion and Quantum Control Authors: Kostia Chardonnet , Emmanuel Hainry , Romain Péchoux , Thomas Vinet View PDF HTML (experimental) Abstract: This paper introduces the hybrid quantum language with general recursion $\mathtt{Hyrql}$, driven towards resource-analysis. By design, $\mathtt{Hyrql}$ does not require the specification of an initial set of quantum gates. Hence, it is well amenable towards a generic cost analysis, unlike languages that use different sets of quantum gates, which yield quantum circuits of distinct complexity. Regarding resource-analysis, we show how to relate the runtime of an expressive fragment of $\mathtt{Hyrql}$ programs with the size of the corresponding quantum circuits. We also manage to capture the class of functions computable in quantum polynomial time, which, by Yao's Theorem, corresponds to families of circuits of polynomial size. Consequently, this result paves the way for the use of termination and runtime-analysis techniques designed for classical programs to guarantee bounds on the size of quantum circuits. Subjects: Logic in Computer Science (cs.LO) Cite as: arXiv:2510.20452 [cs.LO] (or arXiv:2510.20452v2 [cs.LO] for this version) https://doi.org/10.48550/arXiv.2510.20452 Focus to learn more arXiv-issued DOI via DataCite Related DOI : https://doi.org/10.4230/LIPIcs.FSCD.2026.12 Focus to learn more DOI(s) linking to related resources Submission history From: Thomas Vinet [ view email ] [v1] Thu, 23 Oct 2025 11:39:10 UTC (72 KB) [v2] Mon, 16 Feb 2026 12:39:54 UTC (65 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Additional Features Audio Summary Current browse context: cs.LO < prev | next > new | recent | 2025-10 Change to browse by: cs References & Citations SciX 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 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? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab)

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