{
  "annotation_id": "34df885c-afa8-4327-97cf-c2ccd671a6d2",
  "date_created": "2026-03-02T18:02:31.143000Z",
  "date_modified": "2026-03-02T18:02:31.143000Z",
  "file_hash": "5802008b4748e8cf18d1ef77ae02c48581bb57a4f3e068bc2896f951d8800b16",
  "private": false,
  "record": {
    "abstract": "We present a new approach to study the thermodynamic properties of\n$d$-dimensional classical systems by reducing the problem to the computation of\nground state properties of a $d$-dimensional quantum model. This\nclassical-to-quantum mapping allows us to deal with standard optimization\nmethods, such as simulated and quantum annealing, on an equal basis.\nConsequently, we extend the quantum annealing method to simulate classical\nsystems at finite temperatures. Using the adiabatic theorem of quantum\nmechanics, we derive the rates to assure convergence to the optimal\nthermodynamic state. For simulated and quantum annealing, we obtain the\nasymptotic rates of $T(t) \\approx (p N) /(k_B \\log t)$ and $\\gamma(t) \\approx\n(Nt)^{-\\bar{c}/N}$, for the temperature and magnetic field, respectively. Other\nannealing strategies, as well as their potential speed-up, are also discussed.",
    "arxiv_id": "quant-ph/0609216",
    "authors": [
      "Rolando D. Somma",
      "Cristian D. Batista",
      "Gerardo Ortiz"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other",
      "cond-mat.stat-mech",
      "q-bio.OT"
    ],
    "doi": "10.1103/PhysRevLett.99.030603",
    "title": "A Quantum Approach to Classical Statistical Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0609216"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1bbbb129-3cc1-43a8-9c6e-020fde7afb94",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}