{
  "abstract": "Rényi multi-entropy probes multi-partite structure beyond bipartite spectra, but its behavior in general quantum states and the entanglement structure it captures remain poorly understood. We develop a finite field Gauss sum framework for calculating it in stabilizer states. Within this framework, the replica contraction reduces to a quadratic Gauss sum if and only if the state is locally unitarily equivalent to a stabilizer state. We obtain analytic expressions for the Rényi multi-entropy of all tree graph states and large families of loop graph states. In contrast to their flat bipartite Rényi spectra, stabilizer states generically have nonflat Rényi multi-entropy spectra.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26814",
  "author_total": 5,
  "authors": [
    {
      "name": "Bartlomiej Czech"
    },
    {
      "name": "Yichen Feng"
    },
    {
      "name": "Jonathan Harper"
    },
    {
      "name": "Xin-Xiang Ju"
    },
    {
      "name": "Yang Zhao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dbmrakkygevnx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26814",
  "fulltext_url": null,
  "id": "dbmrakkygevnx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26814",
  "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"
    ],
    [
      "openalex",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7223036678",
  "pdf_url": "https://arxiv.org/pdf/2610.26814",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dbmrakkygevnx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.26814",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26814"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Rényi Multi-entropy for Stabilizer States: A Finite Field Gauss Sum Problem",
  "title_text": "Rényi Multi-entropy for Stabilizer States: A Finite Field Gauss Sum Problem",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/dbmrakkygevnx",
  "venue": "arXiv",
  "versions": []
}