{
  "abstract": "Parameterized Quantum Circuits have emerged as a central framework for variational quantum algorithms in the NISQ regime, with major applications in quantum simulation, combinatorial optimization, and, more recently, quantum machine learning (QML). By developing a new approach for computing dynamical Lie algebras associated with quantum circuits combining parametrized gates and non-parametrized entangling gates, we aim to extend the applicability of recent algebraic results to architectures that are actually used in quantum machine learning.",
  "abstract_shown": true,
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  "article_type": null,
  "arxiv": "2610.13709",
  "author_total": 4,
  "authors": [
    {
      "name": "Orlane Zang"
    },
    {
      "name": "Daniel Juteau"
    },
    {
      "name": "Tony Quertier"
    },
    {
      "name": "Grégoire Barrué"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a3nd9kxv42wrg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13709",
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  "id": "a3nd9kxv42wrg",
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  "landing_url": "https://arxiv.org/abs/2610.13709",
  "language": null,
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.QA"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
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  ],
  "openalex": "W7221512704",
  "pdf_url": "https://arxiv.org/pdf/2610.13709",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a3nd9kxv42wrg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.13709",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13709"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Dynamical Lie Algebras for Fixed-Gate Quantum Ansätze",
  "title_text": "Dynamical Lie Algebras for Fixed-Gate Quantum Ansätze",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/a3nd9kxv42wrg",
  "venue": "arXiv",
  "versions": []
}