{
  "id": "1909.13660",
  "version": "v1",
  "published": "2019-09-30T12:58:27.000Z",
  "updated": "2019-09-30T12:58:27.000Z",
  "title": "Scaling and diabatic effects in quantum annealing with a D-Wave device",
  "authors": [
    "Phillip Weinberg",
    "Marek Tylutki",
    "Jami M. Rönkkö",
    "Jan Westerholm",
    "Jan A. Åström",
    "Pekka Manninen",
    "Päivi Törmä",
    "Anders W. Sandvik"
  ],
  "comment": "12 pages, 9 figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We discuss quantum annealing of the two-dimensional transverse-field Ising model implemented on a D-Wave device in the form of $L \\times L$ lattices with $L \\le 32$. Analyzing the residual energy and deviation from maximal magnetization in the final classical state, we find an optimal $L$ dependent annealing rate $v$ for which the two quantities are minimized. The results are well described by a phenomenological model with two powers of $v$ and $L$-dependent prefactors to describe the competing effects of reduced quantum fluctuations and increasing noise impact when $v$ is lowered. The same scaling form also describes results of numerical solutions of a transverse-field Ising chain with the spins coupled to noise sources. We explain why the optimal annealing time is much longer than the coherence time of the individual qubits.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-30T12:58:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "d-wave device",
      "quantum annealing",
      "diabatic effects",
      "two-dimensional transverse-field ising model",
      "residual energy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}