{
  "abstract": "We find a quantum oracle relative to which $\\mathsf{QMA} \\neq \\mathsf{QMA}(2)$. As a consequence, we resolve the no-disentanglers conjecture of Watrous: for every $ε+δ<1$, any $(ε,δ)$-disentangler requires input size exponential in the number of output qubits. Our proof combines the unitarily invariant polynomial method of She and Yuen (ITCS '23) with a new construction based on the symmetric and antisymmetric subspace projectors, reducing the $\\mathsf{QMA}$ lower bound to the approximate degree of $\\mathrm{OR}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.02865",
  "author_total": 7,
  "authors": [
    {
      "name": "John Bostanci"
    },
    {
      "name": "Sabee Grewal"
    },
    {
      "name": "Jonas Haferkamp"
    },
    {
      "name": "Andrew Huang"
    },
    {
      "name": "Yeongwoo Hwang"
    },
    {
      "name": "Anand Natarajan"
    },
    {
      "name": "Chinmay Nirkhe"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2kgfayvjw098q.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.02865",
  "fulltext_url": null,
  "id": "2kgfayvjw098q",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.02865",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7207781840",
  "pdf_url": "https://arxiv.org/pdf/2609.02865",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2kgfayvjw098q.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:16Z",
      "native_id": "2609.02865",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.02865"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "A quantum oracle separation between QMA(2) and QMA",
  "title_text": "A quantum oracle separation between QMA(2) and QMA",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:16Z",
  "url": "https://research.draconitic.com/paper/2kgfayvjw098q",
  "venue": "arXiv",
  "versions": []
}