{
  "abstract": "Preparing a quantum Gibbs state requires reproducing both its thermal distribution and the associated many-body eigenspaces. In this work, we formalize the spectral core-tail architecture (SCTA) as a framework comprising a structured thermal core, a geometrically characterized unitary tail, and an exact residual measuring the remaining core-frame Hamiltonian mismatch. We derive a local Gibbs-state error bound separating core-preparation, tail-implementation, and modeling errors. The modeling contribution is volume uniform when its Kubo-Mori response meets the shell summability condition and the relevant local data remain uniform. We then highlight three anchor Hamiltonian classes which admit exact core-tail constructions with zero residuals. For small deformations of an exact anchor, we employ a Schrieffer-Wolff reduction procedure to construct a corrected core-tail pair that formally removes the deformation order by order. Under uniform locality and solvability assumptions, we show that the first-order reduction yields a residual that remains bounded and is quadratic in the deformation strength. Furthermore, we numerically test the first-order reduction on deformed graph-stabilizer Hamiltonians. The numerical results show approximately quadratic suppression of both the Hamiltonian-level mismatch and the local Gibbs-state error in the perturbative regime. We also find that the constructed correction circuit structure remains useful as a variational ansatz beyond perturbative control, often improving on both the bare and prescribed first-order states.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.09291",
  "author_total": 1,
  "authors": [
    {
      "name": "Rui-Hao Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/avkbnhe8dg2tj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.09291",
  "fulltext_url": null,
  "id": "avkbnhe8dg2tj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.09291",
  "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": "W7212114460",
  "pdf_url": "https://arxiv.org/pdf/2609.09291",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/avkbnhe8dg2tj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:12Z",
      "native_id": "2609.09291",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.09291"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Spectral Core-Tail Architecture for Locally Certified Gibbs-State Preparation",
  "title_text": "Spectral Core-Tail Architecture for Locally Certified Gibbs-State Preparation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:12Z",
  "url": "https://research.draconitic.com/paper/avkbnhe8dg2tj",
  "venue": "arXiv",
  "versions": []
}