{
  "abstract": "A novel inequality involving the residual information and genuine multi-entropy was proposed in \\cite{Balasubramanian:2025hxg} for tripartite holographic pure states, using which it was argued, that purely GHZ-like tripartite entanglement is not allowed in holography. In this work, we generalize this holographic signal inequality to mixed states. In a minimal extension, we compute the reflected genuine multi-entropy following \\cite{Yuan:2024yfg} and find a class of holographic geometries that violate this minimally extended inequality due to a vanishing Markov gap. We can symmetrize this prescription, where instead of computing the residual information on the given mixed state $ρ_{ABC}$, we compute it on its canonical purification. The inequality is restored on the canonically purified state. Finally, we conjecture a new inequality for tripartite holographic states and give supporting evidence.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.26617",
  "author_total": 1,
  "authors": [
    {
      "name": "Joydeep Naskar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0jhg59f6ca1x0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.26617",
  "fulltext_url": null,
  "id": "0jhg59f6ca1x0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.26617",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2605.26617",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0jhg59f6ca1x0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2605.26617",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.26617"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Mixed-state extension of the holographic signal inequality",
  "title_text": "Mixed-state extension of the holographic signal inequality",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:50Z",
  "url": "https://research.draconitic.com/paper/0jhg59f6ca1x0",
  "venue": "arXiv",
  "versions": []
}