{
  "abstract": "We study the three-parameter family of quantum conditional Rényi entropies $H_{α,z}^λ$ introduced in \\textit{Commun. Math. Phys.} 407, 180 (2026). We prove that the previously established data-processing region is sharp. We then characterize the club-sandwiched family through a classical coarse-graining principle: within the full data-processing region, universal monotonicity under deterministic coarse-graining of the classical conditioned register holds if and only if $z = α$. Finally, we establish rigidity of entropic duality by showing that any universal duality relation for finite-dimensional tripartite pure states must satisfy the known parameter relations. Thus, the data-processing region, the club-sandwiched subfamily, and the duality transformation are each uniquely characterized by their respective universal properties.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.31350",
  "author_total": 3,
  "authors": [
    {
      "name": "Milad M. Goodarzi"
    },
    {
      "name": "Yucheng Bao"
    },
    {
      "name": "Marco Tomamichel"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b6xybj99w3wgx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.31350",
  "fulltext_url": null,
  "id": "b6xybj99w3wgx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.31350",
  "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 Information and Cryptography"
    ]
  ],
  "openalex": "W7214581380",
  "pdf_url": "https://arxiv.org/pdf/2609.31350",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b6xybj99w3wgx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:52Z",
      "native_id": "2609.31350",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.31350"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Sharp Data-Processing Region for Quantum Conditional Rényi Entropies",
  "title_text": "Sharp Data-Processing Region for Quantum Conditional Rényi Entropies",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:52Z",
  "url": "https://research.draconitic.com/paper/b6xybj99w3wgx",
  "venue": "arXiv",
  "versions": []
}