{
  "abstract": "On the space of density matrices $D(H)$, Kadison's theorem establishes that all invertible convex transformations $K:D(H)\\to D(H)$ are unitarity or antiunitary. For a finite Hilbert space, we propose a similar theorem which replaces the invertibility requirement with that of entropy conservation. Thus, we argue, the supposition of reversibility in quantum mechanics may be replaced with a principle of entropy conservation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29373",
  "author_total": 2,
  "authors": [
    {
      "name": "Nicolas G. Underwood"
    },
    {
      "name": "Jonte R. Hance"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7hspaez6z24gx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29373",
  "fulltext_url": null,
  "id": "7hspaez6z24gx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29373",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
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      "arxiv",
      "math-ph"
    ],
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      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
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      "openalex",
      "3107|Quantum Mechanics and Applications"
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  ],
  "openalex": "W7204955575",
  "pdf_url": "https://arxiv.org/pdf/2608.29373",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7hspaez6z24gx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.29373",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29373"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Convex conservation of von Neumann entropy implies unitarity or antiunitarity",
  "title_text": "Convex conservation of von Neumann entropy implies unitarity or antiunitarity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/7hspaez6z24gx",
  "venue": "arXiv",
  "versions": []
}