{
  "abstract": "We introduce a numerical framework for reliably estimating conditional von Neumann entropies, a central quantity in device-independent quantum cryptography and randomness generation. Our method is based on semidefinite relaxations derived from the Navascués--Pironio--Acín hierarchy and provides entropy bounds directly from observed statistics, assuming only the validity of quantum mechanics. The approach builds on a recent integral representation of entropy and substantially improves efficiency: it requires about half as many support variables as existing methods, while allowing these variables to be chosen projectively, leading to a significant reduction in runtime. These advances enable the practical certification of randomness and security even in noisy conditions, while integrating seamlessly with modern entropy accumulation theorems. Consequently, our framework becomes a versatile tool for quantum cryptographic protocols, broadening the possibilities for secure communication in untrusted environments.",
  "abstract_shown": true,
  "affiliations": [
    "Institute for Quantum Information, RWTH Aachen University, Aachen, Germany",
    "Institut für Theoretische Physik, Leibniz Universität Hannover, Germany"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Gereon Koßmann"
    },
    {
      "affs": [
        1
      ],
      "name": "René Schwonnek"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1g6gpmpb11kf8.bib",
  "cited_by": 0,
  "doi": "10.22331/q-2026-10-20-2238",
  "fulltext_url": null,
  "id": "1g6gpmpb11kf8",
  "issns": [
    "2521-327X"
  ],
  "landing_url": "https://quantum-journal.org/papers/q-2026-10-20-2238/",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W4404397120",
  "pdf_url": "https://quantum-journal.org/papers/q-2026-10-20-2238/pdf/",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": "Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften",
  "ris": "https://research.draconitic.com/paper/1g6gpmpb11kf8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:58Z",
      "native_id": "10.22331/q-2026-10-20-2238",
      "source": "crossref",
      "url": "https://quantum-journal.org/papers/q-2026-10-20-2238/"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "issn:2521-327X",
      "subfield": "quantum"
    }
  ],
  "title": "Reliable Entropy Estimation from Observed Statistics for Device-Independent Quantum Cryptography",
  "title_text": "Reliable Entropy Estimation from Observed Statistics for Device-Independent Quantum Cryptography",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:58Z",
  "url": "https://research.draconitic.com/paper/1g6gpmpb11kf8",
  "venue": "Quantum",
  "versions": []
}