{
  "abstract": "In this paper, we establish a quantum Cheeger inequality for primitive KMS-symmetric quantum Markov semigroups in terms of projection conductance. We discuss both projection conductance and classical conductance for graph-based KMS-symmetric quantum Markov semigroups. We show that hypercontractivity and the logarithmic Sobolev inequality hold for primitive KMS-symmetric quantum Markov semigroups. We also present applications of the quantum Cheeger inequality to logarithmic Sobolev inequalities, hypercontractivity, and complete modified logarithmic Sobolev inequalities.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.21368",
  "author_total": 2,
  "authors": [
    {
      "name": "Jincheng Wan"
    },
    {
      "name": "Jinsong Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9m7wxf6rtgstt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.21368",
  "fulltext_url": null,
  "id": "9m7wxf6rtgstt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.21368",
  "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",
      "math.FA"
    ],
    [
      "arxiv",
      "math.OA"
    ],
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
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  "openalex": "W7213903686",
  "pdf_url": "https://arxiv.org/pdf/2609.21368",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9m7wxf6rtgstt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:07Z",
      "native_id": "2609.21368",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.21368"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Quantum Cheeger Inequalities for KMS-Symmetric Quantum Markov Semigroups",
  "title_text": "Quantum Cheeger Inequalities for KMS-Symmetric Quantum Markov Semigroups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:07Z",
  "url": "https://research.draconitic.com/paper/9m7wxf6rtgstt",
  "venue": "arXiv",
  "versions": []
}