{
  "annotation_id": "22403fec-dce1-4d32-92f7-75299996c83d",
  "date_created": "2026-03-02T18:02:29.932000Z",
  "date_modified": "2026-03-02T18:02:29.932000Z",
  "file_hash": "f1f8b2a969c81ed9f82c6ae74bfeaf6d44176379c26379ff3e7bf4519244eaab",
  "private": false,
  "record": {
    "abstract": "We prove several theorems to give sufficient conditions for convergence of\nquantum annealing, which is a protocol to solve generic optimization problems\nby quantum dynamics. In particular the property of strong ergodicity is proved\nfor the path-integral Monte Carlo implementation of quantum annealing for the\ntransverse Ising model under a power decay of the transverse field. This result\nis to be compared with the much slower inverse-log decay of temperature in the\nconventional simulated annealing. Similar results are proved for the Green\u0027s\nfunction Monte Carlo approach. Optimization problems in continuous space of\nparticle configurations are also discussed.",
    "arxiv_id": "quant-ph/0608154",
    "authors": [
      "Satoshi Morita",
      "Hidetoshi Nishimori"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.dis-nn",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1088/0305-4470/39/45/004",
    "journal_ref": "J. Phys. A: Math. Gen. 39 (2006) 13903",
    "title": "Convergence theorems for quantum annealing",
    "url": "https://arxiv.org/abs/quant-ph/0608154"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d60bf7bb-9252-4c88-a8e7-ea9a572bd253",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}