{
  "abstract": "Sklar's theorem separates the marginals of a joint distribution from its dependence structure. We apply this viewpoint to Born statistics generated by local quantum measurements. For non-product two-qubit states, the dependence nuclei over all local binary projective measurement contexts determine the state up to at most a discrete double-spin-flip ambiguity. The corresponding scalar optimization, combined with the quantum total correlation, reproduces global quantum discord.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08035",
  "author_total": 1,
  "authors": [
    {
      "name": "Yi-Yu Lin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8mmh5kcy0j52q.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08035",
  "fulltext_url": null,
  "id": "8mmh5kcy0j52q",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08035",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum Mechanics and Applications"
    ]
  ],
  "openalex": "W7212026047",
  "pdf_url": "https://arxiv.org/pdf/2609.08035",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8mmh5kcy0j52q.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:49Z",
      "native_id": "2609.08035",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08035"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Sklar's Theorem and Quantum State Reconstruction from All-Context Dependence",
  "title_text": "Sklar's Theorem and Quantum State Reconstruction from All-Context Dependence",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:49Z",
  "url": "https://research.draconitic.com/paper/8mmh5kcy0j52q",
  "venue": "arXiv",
  "versions": []
}