{
  "abstract": "Quenched thermodynamics combines the equilibrium physics of fixed coupling configurations with a prescribed distribution of disorder. Problems related to quenched thermodynamics are generally intractable to approximate. We provide a quantum algorithm to calculate quenched disorder averages for the transverse-field Ising model, whose coupling configurations are organized into gauge classes. We show how to estimate these averages by preparing approximate Gibbs states through ancilla-assisted imaginary-time evolution. At each measurement, the ancilla record identifies the gauge class to which the energy estimate contributes. We validate our framework through an open $3\\times3$ lattice. A one-step circuit resolves all sixteen flux classes, and a finite-shot calculation estimates the quenched energy for independently distributed bond signs. Thermodynamic integration extends the reconstruction to a quenched free-energy estimate, while comparison with exact diagonalization identifies the finite-step approximation as the dominant source of error. This use of the measurement record provides access to the thermodynamics of frustrated spin systems with a disorder distribution chosen independently of the circuit's sampling frequencies.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38707",
  "author_total": 2,
  "authors": [
    {
      "name": "Ibukunoluwa Adisa"
    },
    {
      "name": "Daniele Cuomo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9v9tamepafqah.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38707",
  "fulltext_url": null,
  "id": "9v9tamepafqah",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38707",
  "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/2610.38707",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9v9tamepafqah.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.38707",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38707"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Quenched Thermodynamics from Ancilla-Assisted Imaginary-Time Evolution",
  "title_text": "Quenched Thermodynamics from Ancilla-Assisted Imaginary-Time Evolution",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:45Z",
  "url": "https://research.draconitic.com/paper/9v9tamepafqah",
  "venue": "arXiv",
  "versions": []
}