{
  "abstract": "We study the problem of estimating the quantum divergence with $p$-power means, $Φ_p(ρ\\,\\|\\,σ)$. This quantity was investigated by Lam and Le (\\textit{Linear Algebra Appl.}\\ 2021). For any constant $p \\in (0, 1)$, we present sample-efficient and query-efficient quantum algorithms for estimating $Φ_p(ρ\\,\\|\\,σ)$ and further show that estimating $Φ_p(ρ\\,\\|\\,σ)$ is $\\mathsf{BQP}$-complete in the low-rank case.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01163",
  "author_total": 3,
  "authors": [
    {
      "name": "Jinge Bao"
    },
    {
      "name": "Minbo Gao"
    },
    {
      "name": "Qisheng Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d677z6pc1pq7d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01163",
  "fulltext_url": null,
  "id": "d677z6pc1pq7d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01163",
  "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",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01163",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d677z6pc1pq7d.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.01163",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01163"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "On Estimating Quantum Divergences with $p$-Power Means",
  "title_text": "On Estimating Quantum Divergences with p-Power Means",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:18Z",
  "url": "https://research.draconitic.com/paper/d677z6pc1pq7d",
  "venue": "arXiv",
  "versions": []
}