{
  "abstract": "We show that 2-fold Forrelation with inverse-polylogarithmic promise gap can be solved, with bounded error, by polynomial-size QAC$^0$ circuits. Unlike the standard oracle-based Forrelation algorithm, our circuits receive the input explicitly, in the same form as the AC$^0$ circuits against which Forrelation is known to be hard. At constant gap, this yields a natural promise-problem separation between QAC$^0$ and AC$^0$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.07060",
  "author_total": 1,
  "authors": [
    {
      "name": "Francisca Vasconcelos"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/20xw7tdgtmj9r.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.07060",
  "fulltext_url": null,
  "id": "20xw7tdgtmj9r",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.07060",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.CC"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7212045030",
  "pdf_url": "https://arxiv.org/pdf/2609.07060",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/20xw7tdgtmj9r.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2609.07060",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.07060"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "2-Fold Forrelation is in QAC$^0$",
  "title_text": "2-Fold Forrelation is in QAC^0",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:48Z",
  "url": "https://research.draconitic.com/paper/20xw7tdgtmj9r",
  "venue": "arXiv",
  "versions": []
}