{
  "abstract": "Time-reversal symmetry and its violation (T-violation) are fundamental across diverse physics domains, from particle physics to fluctuation theorems and reciprocity. While time-reversal symmetry for isolated systems is simply determined by the Hamiltonian, quantifying the magnitude of T-violation, especially in noisy quantum processes, has been a subject of ongoing debate. Here, we propose an operationally meaningful framework to quantify the intrinsic T-violation of quantum channels. We integrate operationally defined time-reversal transformations into dynamical resource theory to formulate T-violation as a resource. T-violation decomposes into two distinct components: kinematic T-violation originating from antiunitary motion-reversal, and nonunitality driven purely by thermodynamics. This decomposition resolves the longstanding confusion between broken time-reversal symmetry and non-invertibility. Finally, we analyze the resulting resource theory of kinematic T-violation, showing that it is neither quality-like nor quantity-like, and proving the existence of a universal golden unit even within classical channels.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.36408",
  "author_total": 3,
  "authors": [
    {
      "name": "Jisho Miyazaki"
    },
    {
      "name": "Kohdai Kuroiwa"
    },
    {
      "name": "Mio Murao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fbdvtav3ma0xc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.36408",
  "fulltext_url": null,
  "id": "fbdvtav3ma0xc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.36408",
  "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",
      "hep-th"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3109|Advanced Thermodynamics and Statistical Mechanics"
    ]
  ],
  "openalex": "W7214921588",
  "pdf_url": "https://arxiv.org/pdf/2609.36408",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fbdvtav3ma0xc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:31Z",
      "native_id": "2609.36408",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.36408"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Dynamical resource theory of time-reversal symmetry breaking",
  "title_text": "Dynamical resource theory of time-reversal symmetry breaking",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:31Z",
  "url": "https://research.draconitic.com/paper/fbdvtav3ma0xc",
  "venue": "arXiv",
  "versions": []
}