{"paper":{"title":"Approximate Error Correction for Quantum Simulations of SU(2) Lattice Gauge Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A protocol using mid-circuit measurements and conditional recoveries suppresses gauge violations in quantum simulations of SU(2) lattice gauge theories.","cross_cats":["hep-lat"],"primary_cat":"quant-ph","authors_text":"Zachary P. Bradshaw","submitted_at":"2026-03-26T21:43:47Z","abstract_excerpt":"We present a protocol for actively suppressing Gauss law violations in quantum simulations of SU(2) lattice gauge theory. Mid-circuit measurements extract a syndrome $(J,M,N)$ characterising the gauge-violation sector at each vertex by resolving both the total angular momentum and the magnetic quantum numbers of the violation through a group quantum Fourier transform. A syndrome-conditional recovery operation maps the state back to the gauge-invariant subspace, and the procedure is iterated as a sweep over vertices in a process we call gauge cooling. We prove that every single-qubit Pauli erro"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"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.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The assumption that mid-circuit measurements can be performed with high enough fidelity and that the dominant noise is captured by depolarizing and amplitude damping models, which may not hold for all hardware errors or larger systems.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"The gauge cooling protocol detects all single-qubit errors via group quantum Fourier transform syndromes at lattice vertices and restores gauge invariance in SU(2) lattice gauge theory simulations, improving fidelity under depolarizing and amplitude damping noise on a single-plaquette Kogut-Susskind","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A protocol using mid-circuit measurements and conditional recoveries suppresses gauge violations in quantum simulations of SU(2) lattice gauge theories.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"d33b455680bd4925dab8a37b5e8aab36a3bead96826cddfbe4e0c261afd97520"},"source":{"id":"2603.26819","kind":"arxiv","version":3},"verdict":{"id":"27527669-fda2-46fd-a90b-e52eef62df6b","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T23:55:40.086042Z","strongest_claim":"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.","one_line_summary":"The gauge cooling protocol detects all single-qubit errors via group quantum Fourier transform syndromes at lattice vertices and restores gauge invariance in SU(2) lattice gauge theory simulations, improving fidelity under depolarizing and amplitude damping noise on a single-plaquette Kogut-Susskind","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The assumption that mid-circuit measurements can be performed with high enough fidelity and that the dominant noise is captured by depolarizing and amplitude damping models, which may not hold for all hardware errors or larger systems.","pith_extraction_headline":"A protocol using mid-circuit measurements and conditional recoveries suppresses gauge violations in quantum simulations of SU(2) lattice gauge theories."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.26819/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}