{
  "abstract": "Recent advances in algorithms for simulating Lindblad dynamics have clarified their theoretical potential for state preparation, but their practicality in the early fault-tolerant regime and beyond remains uncertain. In this work, we address this by investigating the cost of preparing ground states of the fermionic Hubbard model, following the single-ancilla approach of [Phys. Rev. Research 6, 033147 (2024)]. We derive rigorous error bounds including constant prefactors, and compare to empirical error behavior and practical convergence parameters obtained from circuit-level simulations. We find that empirically chosen parameters can reduce the required resources by orders of magnitude, resulting in an estimated $7.7 \\times 10^8$ T gates to perform one unit of time evolution targeting the low-energy subspace of a 36-site fermionic Hubbard model. We identify the accurate filtering of energy transitions as the main source of this cost.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08667",
  "author_total": 3,
  "authors": [
    {
      "name": "Marius Bothe"
    },
    {
      "name": "Patrick Schoepf"
    },
    {
      "name": "Nick S. Blunt"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0ysa5w178z23d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08667",
  "fulltext_url": null,
  "id": "0ysa5w178z23d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08667",
  "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",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7220985692",
  "pdf_url": "https://arxiv.org/pdf/2610.08667",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0ysa5w178z23d.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:22Z",
      "native_id": "2610.08667",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08667"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Fault-tolerant resource estimation for ground-state preparation via Lindblad simulation",
  "title_text": "Fault-tolerant resource estimation for ground-state preparation via Lindblad simulation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:22Z",
  "url": "https://research.draconitic.com/paper/0ysa5w178z23d",
  "venue": "arXiv",
  "versions": []
}