{
  "abstract": "We prove optimal query bounds for recovering a single qubit from black-hole radiation in the Haar random oracle model, when the remaining black hole contains at most one sixteenth of the system's qubits. Recovery with any constant Haar-averaged advantage over trivial decoding requires queries proportional to the Hilbert-space dimension of the remaining black hole. The lower bound is unconditional for decoders chosen independently of the sampled unitary, allows arbitrary computation between queries, and access to $U, U^\\dagger, U^*, U^\\mathsf T$ along with the controlled variants. An existing decoder using only forward and inverse queries attains a matching bound. The proof uses a path recording oracle to compare real and maximally mixed states. As applications, we obtain an efficiently preparable, statistically far, computationally indistinguishable (EFI) pair and quantum commitments relative to a public Haar oracle, as well as prove a tight linear rank lower bound for Uhlmann transformation on a fixed-target family.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07124",
  "author_total": 2,
  "authors": [
    {
      "name": "Ezekiel Cochran"
    },
    {
      "name": "Atul Mantri"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2tpm8wbw8f7s2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07124",
  "fulltext_url": null,
  "id": "2tpm8wbw8f7s2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.07124",
  "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",
      "cs.CR"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7220995644",
  "pdf_url": "https://arxiv.org/pdf/2610.07124",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2tpm8wbw8f7s2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:22Z",
      "native_id": "2610.07124",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07124"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Black Hole Radiation Decoding in the Haar Random Oracle Model",
  "title_text": "Black Hole Radiation Decoding in the Haar Random Oracle Model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:22Z",
  "url": "https://research.draconitic.com/paper/2tpm8wbw8f7s2",
  "venue": "arXiv",
  "versions": []
}