{
  "id": "1910.08020",
  "version": "v1",
  "published": "2019-10-17T16:48:06.000Z",
  "updated": "2019-10-17T16:48:06.000Z",
  "title": "Quantum Simulation of Quantum $\\mathbb{Z}_2$ Gauge Theory demonstrated in a GPU Simulator",
  "authors": [
    "Xiaopeng Cui",
    "Ji-Chong Yang",
    "Yu Shi"
  ],
  "comment": "26 pages",
  "categories": [
    "quant-ph",
    "cond-mat.str-el",
    "hep-lat"
  ],
  "abstract": "We outline a quantum simulation scheme of quantum $\\mathbb{Z}_2$ gauge theory using quantum adiabatic algorithm implemented in terms of quantum circuit, and then demonstrate it in the classical simulator QuEST using a CUDA enabled GPU server. In particular, we obtained useful results in (3+1)-dimensional and (2+1)-dimensional theories. It is identified that the quantum phase transition is topological in both dimensions, and is first-order in (3+1) dimensions but second-order in (2+1) dimensions. High-performance classical simulation of quantum simulation, which may be dubbed pseudoquantum simulation, is not only a platform of developing quantum software, but also represents a new practical mode of computation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-17T16:48:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gauge theory",
      "gpu simulator",
      "dimensions",
      "cuda enabled gpu server",
      "quantum adiabatic algorithm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}