{
  "abstract": "We present a distributed quantum algorithm that $3$-colors cycles in $O(1)$ rounds, with high probability. It follows that all locally checkable labeling problems (LCLs) that have round complexity $O(\\log^* n)$ in the classical LOCAL model can be solved in $O(1)$ rounds in the quantum-LOCAL model, with high probability; this includes problems such as maximal independent set and maximal matching in bounded-degree graphs. This presents the first natural examples of graph problems with an asymptotic distributed quantum advantage for the LOCAL model; all prior examples that separate LOCAL and quantum-LOCAL are artificial problems constructed merely for the sake of demonstrating quantum advantage.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.26788",
  "author_total": 3,
  "authors": [
    {
      "name": "Maxime Flin"
    },
    {
      "name": "Longcheng Li"
    },
    {
      "name": "Jukka Suomela"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9ynrz714rgnv1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.26788",
  "fulltext_url": null,
  "id": "9ynrz714rgnv1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.26788",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.DC"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7214086477",
  "pdf_url": "https://arxiv.org/pdf/2609.26788",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9ynrz714rgnv1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:39Z",
      "native_id": "2609.26788",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.26788"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Quantum Advantage for Distributed Symmetry Breaking",
  "title_text": "Quantum Advantage for Distributed Symmetry Breaking",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/9ynrz714rgnv1",
  "venue": "arXiv",
  "versions": []
}