{
  "abstract": "We prove $\\mathsf{QMA} = \\mathsf{QMA_1}$, i.e., every quantum Merlin-Arthur proof system can be made perfectly complete. Our construction uses only Hadamard, Toffoli, and $X$ gates, yielding a universal gate set for $\\mathsf{QMA_1}$. As a consequence, quantum $3$-SAT is $\\mathsf{QMA}$-complete. The construction relativizes to classical oracles, so known classical-oracle separations of $\\mathsf{QMA}$ from $\\mathsf{QCMA}$ extend to $\\mathsf{QMA_1}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.13032",
  "author_total": 2,
  "authors": [
    {
      "name": "Sabee Grewal"
    },
    {
      "name": "Dorian Rudolph"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e1cdqjkrmv92s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.13032",
  "fulltext_url": null,
  "id": "e1cdqjkrmv92s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.13032",
  "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.CC"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7212613233",
  "pdf_url": "https://arxiv.org/pdf/2609.13032",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e1cdqjkrmv92s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:07Z",
      "native_id": "2609.13032",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.13032"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "QMA has perfect completeness",
  "title_text": "QMA has perfect completeness",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:07Z",
  "url": "https://research.draconitic.com/paper/e1cdqjkrmv92s",
  "venue": "arXiv",
  "versions": []
}