{
  "abstract": "We study the complexity of high-dimensional integration of periodic functions from Besov spaces $S^r_{p,q}B(\\mathbb{T}^d)$ with mixed smoothness in the quantum model of computation. We construct new quantum algorithms based on the multivariate Faber-Schauder decomposition of such functions and analyze their convergence rates. We show a gain of one convergence order compared to the well-known deterministic rates of convergence. We additionally obtain lower bounds showing the optimality of our results up to logarithms.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.17204",
  "author_total": 2,
  "authors": [
    {
      "name": "Bernd Käßemodel"
    },
    {
      "name": "Tino Ullrich"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ferbjwr8qvgb7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.17204",
  "fulltext_url": null,
  "id": "ferbjwr8qvgb7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.17204",
  "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",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7221801578",
  "pdf_url": "https://arxiv.org/pdf/2610.17204",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ferbjwr8qvgb7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:19Z",
      "native_id": "2610.17204",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.17204"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "Quantum integration in Besov spaces with mixed smoothness",
  "title_text": "Quantum integration in Besov spaces with mixed smoothness",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:19Z",
  "url": "https://research.draconitic.com/paper/ferbjwr8qvgb7",
  "venue": "arXiv",
  "versions": []
}