{
  "id": "1102.2025",
  "version": "v2",
  "published": "2011-02-10T03:05:28.000Z",
  "updated": "2011-04-04T07:43:15.000Z",
  "title": "Nonequilibrium work performed in quantum annealing",
  "authors": [
    "Masayuki Ohzeki",
    "Hidestoshi Nishimori"
  ],
  "comment": "4pages, Proceedings of International Symposium \"Nanoscience and Quantum Physics 2011\" (nanoPHYS'11) Title is changed and some typos are fixed",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "Quantum annealing is a generic solver of classical optimization problems that makes full use of quantum fluctuations. We consider work statistics given by a repetition of quantum annealing processes by employing the Jarzynski equality proposed in nonequilibrium statistical physics. In particular, we analyze the distribution of the work performed by a transverse field. A special symmetry, gauge symmetry, leads to a non-trivial relationship between quantum annealing toward different targets in the theory of spin glasses. We believe that our results will be a step toward an alternative realization of efficient quantum computation as well as our better understanding of nonequilibrium behavior of systems under quantum control.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-04-04T07:43:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonequilibrium work",
      "efficient quantum computation",
      "quantum fluctuations",
      "work statistics",
      "quantum annealing processes"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1742-6596/302/1/012047",
      "journal": "Journal of Physics Conference Series",
      "year": 2011,
      "month": "Jul",
      "volume": 302,
      "number": 1,
      "pages": "012047"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JPhCS.302a2047O"
    }
  }
}