{
  "id": "1801.02005",
  "version": "v1",
  "published": "2018-01-06T11:59:39.000Z",
  "updated": "2018-01-06T11:59:39.000Z",
  "title": "Exponential Speedup of Quantum Annealing by Inhomogeneous Driving of the Transverse Field",
  "authors": [
    "Yuki Susa",
    "Yu Yamashiro",
    "Masayuki Yamamoto",
    "Hidetoshi Nishimori"
  ],
  "comment": "4 pages, 5 figures. To be published in J. Phys. Soc. Jpn",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We show, for quantum annealing, that a certain type of inhomogeneous driving of the transverse field erases first-order quantum phase transitions in the p-body interacting mean-field-type model with and without longitudinal random field. Since a first-order phase transition poses a serious difficulty for quantum annealing (adiabatic quantum computing) due to the exponentially small energy gap, the removal of first-order transitions means an exponential speedup of the annealing process. The present method may serve as a simple protocol for the performance enhancement of quantum annealing, complementary to non-stoquastic Hamiltonians.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-06T11:59:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum annealing",
      "exponential speedup",
      "inhomogeneous driving",
      "field erases first-order quantum phase",
      "transverse field erases first-order quantum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}