{
  "abstract": "The mutual information of measurement of a local operator between two spatial regions characterizes the reduction in the uncertainty of measurement outcomes in one region given the outcome in the other. We study the Rényi-Shannon mutual information of measurement in conformal field theories (CFTs). Explicit calculations for scalar primaries and descendants in large $N$ CFTs are performed in the two extreme limits of the intervals being adjacent or largely separated. The results depend on only the cross ratio and the scaling dimension $Δ$ of the operator being measured, with striking similarities to the mutual information of entanglement. We find a surprising quadratic dependence as $(Δ-1/2)^2$ for adjacent intervals. This dependence superficially seems to violate the information processing inequality, which we discuss and resolve. We also offer a holographic interpretation of the mutual information of measurement.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.19286",
  "author_total": 3,
  "authors": [
    {
      "name": "Israel Klich"
    },
    {
      "name": "Ravisankar Rajagopal"
    },
    {
      "name": "Diana Vaman"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cnejcmgg7q8bk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.19286",
  "fulltext_url": null,
  "id": "cnejcmgg7q8bk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.19286",
  "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",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7222234295",
  "pdf_url": "https://arxiv.org/pdf/2610.19286",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cnejcmgg7q8bk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2610.19286",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.19286"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Mutual Information of Measurement in Conformal Field Theories",
  "title_text": "Mutual Information of Measurement in Conformal Field Theories",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/cnejcmgg7q8bk",
  "venue": "arXiv",
  "versions": []
}