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Aligning Quantum Operators with Large Language Models

arXiv Quantum Physics
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⚡ Quantum Brief
Researchers propose a method to integrate quantum operators with large language models by mapping unitary matrices into LLM latent space. This enables unified modeling of quantum and linguistic inputs, addressing LLMs' inability to natively understand quantum representations. The approach achieves competitive results in Clifford+T circuit synthesis using Pauli rotation gates, scaling with training data without saturation. It supports language-conditioned synthesis, allowing natural language specification of quantum gate constraints. The work paves the way for quantum-aware foundation models that could transform quantum compilation and algorithm discovery.
Aligning Quantum Operators with Large Language Models

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Quantum Physics arXiv:2606.13811 (quant-ph) [Submitted on 11 Jun 2026] Title:Aligning Quantum Operators with Large Language Models Authors:Rogerio Feris, Yunchao Liu, Pengyuan Li, Hang Hua, David Kremer View a PDF of the paper titled Aligning Quantum Operators with Large Language Models, by Rogerio Feris and 4 other authors View PDF HTML (experimental) Abstract:Can Large Language Models (LLMs) understand and reason about quantum operators? Despite their remarkable capabilities in mathematics and symbolic reasoning, LLMs remain inherently blind to quantum representations such as unitary matrices. In this work, we take a step toward bridging this gap by introducing an approach that maps unitary operators into the latent space of an LLM, enabling unified modeling over quantum and linguistic inputs. We instantiate this idea on Clifford+T circuit synthesis over a Pauli rotation gate set, where our model achieves results competitive with state-of-the-art methods and scales consistently with training data, with no signs of saturation. Our approach further enables language-conditioned synthesis, allowing gate constraints unseen during training to be specified directly in natural language. This work suggests a path toward quantum--aware foundation models that can natively interpret and reason about quantum operations, which could have broader implications reaching across quantum compilation and algorithm discovery. Subjects: Quantum Physics (quant-ph); Artificial Intelligence (cs.AI) Cite as: arXiv:2606.13811 [quant-ph] (or arXiv:2606.13811v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2606.13811 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Rogerio Feris [view email] [v1] Thu, 11 Jun 2026 18:27:27 UTC (1,392 KB) Full-text links: Access Paper: View a PDF of the paper titled Aligning Quantum Operators with Large Language Models, by Rogerio Feris and 4 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-06 Change to browse by: cs cs.AI 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?)

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Source: arXiv Quantum Physics