{
  "id": "1511.01906",
  "version": "v1",
  "published": "2015-11-05T21:00:10.000Z",
  "updated": "2015-11-05T21:00:10.000Z",
  "title": "Quantum annealing speedup over simulated annealing on random Ising chains",
  "authors": [
    "Tommaso Zanca",
    "Giuseppe E. Santoro"
  ],
  "comment": "5 pages, 3 figures",
  "categories": [
    "quant-ph",
    "cond-mat.stat-mech",
    "physics.comp-ph"
  ],
  "abstract": "We show clear evidence of a speedup of a quantum annealing (QA) Schr\\\"odinger dynamics over a Glauber master-equation simulated annealing (SA) for a random Ising model in one dimension. Annealings are tackled on equal footing, by a deterministic dynamics of the resulting Jordan-Wigner fermionic problems. We find that disorder, without frustration, makes both SA and real-time QA logarithmically slow in the annealing time $\\tau$, but QA shows a quadratic speedup with respect to SA. We also find that an imaginary-time Schr\\\"odinger QA dynamics provides a further exponential speedup, with an asymptotic residual error compatible with a power-law $\\tau^{-\\mu}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-05T21:00:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random ising chains",
      "quantum annealing speedup",
      "simulated annealing",
      "real-time qa logarithmically slow",
      "resulting jordan-wigner fermionic problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}