{
  "abstract": "With the target of efficiently solving the quantum-mechanical Schrödinger equation on future quantum computers, first- and second-order product formulas for the time-evolution operator are proposed, designed to exploit hierarchies in the operator norms of the individual Hamiltonian components. Inspired by the THRIFT product formula, these decomposition schemes achieve a suppression of the leading error term by a factor of alpha<1 with respect to the standard Lie--Trotter--Suzuki splitting of the same order, where alpha quantifies the norm ratio between the dominant and subdominant parts of the Hamiltonian. Unlike THRIFT, the proposed formulas retain the general product-formula structure, making them applicable to Hamiltonians whose terms act on an arbitrary number of qubits. The advantages of this approach are demonstrated through numerical experiments on engineered two-dimensional spin-1/2 XY model systems and isolated molecules within the double-factorization framework.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31070",
  "author_total": 3,
  "authors": [
    {
      "name": "Carlos A. Piñeiro Moreno"
    },
    {
      "name": "Pascal Krause"
    },
    {
      "name": "Annika Bande"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/av1t943q77tw3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31070",
  "fulltext_url": null,
  "id": "av1t943q77tw3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31070",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7223345804",
  "pdf_url": "https://arxiv.org/pdf/2610.31070",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/av1t943q77tw3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2610.31070",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31070"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Norm-Aware Product Formulas for Hamiltonian Simulations",
  "title_text": "Norm-Aware Product Formulas for Hamiltonian Simulations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:34Z",
  "url": "https://research.draconitic.com/paper/av1t943q77tw3",
  "venue": "arXiv",
  "versions": []
}