{
  "abstract": "We construct shallow QROM, diagonal block-encoding, and quantum state preparation oracles for analytic functions on the $D$-dimensional hypercube $[0, 1]^D$. On $n$ qubits and with $2^{- Ω(n/D)}$ error, these circuits have depths of $O \\left( \\sqrt{\\frac{n \\log_2 (n)}{D}} \\right)$ in the Clifford + $T$ gate set, albeit using $2^{O(\\sqrt{nD \\log_2 (n)})}$ ancilla qubits. This is a near-quadratic depth reduction compared to known linear-depth methods.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.02296",
  "author_total": 2,
  "authors": [
    {
      "name": "Arjun Dixit"
    },
    {
      "name": "Ákos Nagy"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c8qvqq4dqnean.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.02296",
  "fulltext_url": null,
  "id": "c8qvqq4dqnean",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.02296",
  "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/2611.02296",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c8qvqq4dqnean.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.02296",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.02296"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Shallow data-loading circuits for multivariable functions",
  "title_text": "Shallow data-loading circuits for multivariable functions",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:18Z",
  "url": "https://research.draconitic.com/paper/c8qvqq4dqnean",
  "venue": "arXiv",
  "versions": []
}