{
  "abstract": "The fixed-ray escort integral representation expresses $α$--$z$ Rényi divergence as an average over ordinary relative entropy of a family of escort states. Working in the standard UV-regulated density-matrix description of QFT subregions, we use this representation to derive an escort-averaged entanglement first law, an escort-averaged representation of the $α$--$z$ information kernel, and an escort-averaged Bekenstein-type bound for ball-shaped regions in conformal field theories. For the conjectural $α$--$z$ quantum null energy condition (QNEC), we obtain a quasi-local form in which the null energy is evaluated in an escort-averaged state and is corrected by an escort-transport term encoding the failure of escort formation to commute with restriction to a null-deformed region. The $z=α$ specialization gives a similar quasi-local form of the Rényi QNEC for sandwiched Rényi divergence. We explicitly compute the Rényi QNEC, including the explicit escort transport term, for coherent-state excitations in a free scalar field theory. For the same coherent family, we obtain a positive $α$--$z$ null Hessian, verifying the conjectured diagonal $α$--$z$ QNEC for this family.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.04016",
  "author_total": 2,
  "authors": [
    {
      "name": "Tanay Kibe"
    },
    {
      "name": "Pratik Roy"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4btdcrgg60est.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.04016",
  "fulltext_url": null,
  "id": "4btdcrgg60est",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.04016",
  "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",
      "hep-th"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7208754274",
  "pdf_url": "https://arxiv.org/pdf/2609.04016",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4btdcrgg60est.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:31Z",
      "native_id": "2609.04016",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.04016"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Quasi-local form for $α$--$z$ Rényi QNEC from fixed-ray escorts",
  "title_text": "Quasi-local form for α--z Rényi QNEC from fixed-ray escorts",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:31Z",
  "url": "https://research.draconitic.com/paper/4btdcrgg60est",
  "venue": "arXiv",
  "versions": []
}