Approximate Error Correction for Quantum Simulations of SU(2) Lattice Gauge Theories
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Quantum Physics arXiv:2603.26819 (quant-ph) [Submitted on 26 Mar 2026] Title:Approximate Error Correction for Quantum Simulations of SU(2) Lattice Gauge Theories Authors:Zachary P. Bradshaw View a PDF of the paper titled Approximate Error Correction for Quantum Simulations of SU(2) Lattice Gauge Theories, by Zachary P. Bradshaw View PDF Abstract:We present a protocol for actively suppressing Gauss law violations in quantum simulations of SU(2) lattice gauge theory. The protocol uses mid-circuit measurements to extract a characterization of the gauge-violation sector at each lattice vertex, resolving both the total angular momentum and magnetic quantum numbers of the violation via a group quantum Fourier transform. Syndrome-conditional recovery operations map the state back to the gauge-invariant subspace through an iterative sweep over vertices, a procedure we call gauge cooling. We show that while the Knill-Laflamme conditions are not generically satisfied at vertices with nontrivial singlet multiplicity, every single-qubit error is detected by the gauge syndrome. We demonstrate gauge cooling on a single-plaquette simulation of the Kogut-Susskind Hamiltonian truncated to the spin-$1/2$ representation under depolarizing and amplitude damping noise, showing that the protocol restores gauge invariance and improves fidelity at noise rates representative of current superconducting hardware. Comments: Subjects: Quantum Physics (quant-ph); High Energy Physics - Lattice (hep-lat) MSC classes: 81P73 (Primary) 81T13 (Secondary) Cite as: arXiv:2603.26819 [quant-ph] (or arXiv:2603.26819v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.26819 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Zachary Bradshaw [view email] [v1] Thu, 26 Mar 2026 21:43:47 UTC (53 KB) Full-text links: Access Paper: View a PDF of the paper titled Approximate Error Correction for Quantum Simulations of SU(2) Lattice Gauge Theories, by Zachary P. BradshawView PDFTeX Source view license Current browse context: quant-ph new | recent | 2026-03 Change to browse by: hep-lat 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?)