{
  "abstract": "Goldreich-Levin reductions are ubiquitous in cryptography: they convert an algorithm capable of guessing $\\langle r, m \\rangle$ (mod $2$) for a hidden string $m$ and a random challenge $r$, to one that is capable of extracting the entirety of $m$. Here, we describe a \"simultaneous\" Goldreich-Levin reduction for two entangled parties who are capable of guessing $\\langle r, m \\rangle$ given uniformly random identical challenges $r$. This allows to upgrade any unclonable encryption scheme satisfying \"search\" security to one satisfying the gold standard of unclonable \"indistinguishability\". As a corollary, we show that the simplest candidate unclonable encryption scheme from BB84 states satisfies unclonable indistinguishability. This result was discovered by GPT-5.6 Ultra after a few interactions. Our prompts included recent results on unclonable encryption by Ananth and Sahai, and Ragavan.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.17629",
  "author_total": 3,
  "authors": [
    {
      "name": "Andrea Coladangelo"
    },
    {
      "name": "Qipeng Liu"
    },
    {
      "name": "Ziyi Xie"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/366hq1evq6jzn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.17629",
  "fulltext_url": null,
  "id": "366hq1evq6jzn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.17629",
  "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.CR"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7203795330",
  "pdf_url": "https://arxiv.org/pdf/2608.17629",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/366hq1evq6jzn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2608.17629",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.17629"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Unclonable encryption from BB84 states: a simultaneous Goldreich-Levin reduction",
  "title_text": "Unclonable encryption from BB84 states: a simultaneous Goldreich-Levin reduction",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/366hq1evq6jzn",
  "venue": "arXiv",
  "versions": []
}