{
  "abstract": "We prove rapid convergence of a system-bath interaction algorithm for preparing Gibbs states of one-dimensional noncommuting Hamiltonians at every fixed positive temperature. For a chain of $n$ qudits of local dimension $2^q$ with bounded nearest-neighbor interactions, the algorithm prepares the Gibbs state from any initial state to trace-norm error $0<\\varepsilon\\le1/2$ in expected total Hamiltonian evolution time $\\widetilde{O}(n/\\varepsilon)$. This improves the previously proved $\\widetilde{O}(n^6/\\varepsilon)$ bound for single-ancilla system-bath Gibbs samplers, up to logarithmic factors. The proposed algorithm couples $4^q-1$ resettable bath qubits to each site in parallel and randomizes the interaction time. Our analysis bounds both the one-round approximation error and the stationarity defect of an approximate stationary state in Gibbs-weighted $L^2$ norms, with only linear dependence on the system size. It also uses the dephasing induced by randomized evolution to control the extensive Lamb shift without treating it as a small perturbation of the dissipative dynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03422",
  "author_total": 3,
  "authors": [
    {
      "name": "Zhiyan Ding"
    },
    {
      "name": "Bowen Li"
    },
    {
      "name": "Ruizhe Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/15m3h91ptdadw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03422",
  "fulltext_url": null,
  "id": "15m3h91ptdadw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03422",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03422",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/15m3h91ptdadw.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:04Z",
      "native_id": "2611.03422",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03422"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Efficient thermalization of one-dimensional noncommuting Hamiltonians via system-bath interactions with $Θ(n)$ ancilla qubits",
  "title_text": "Efficient thermalization of one-dimensional noncommuting Hamiltonians via system-bath interactions with Θ(n) ancilla qubits",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:21Z",
  "url": "https://research.draconitic.com/paper/15m3h91ptdadw",
  "venue": "arXiv",
  "versions": []
}