{
  "id": "1305.5895",
  "version": "v2",
  "published": "2013-05-25T07:25:32.000Z",
  "updated": "2013-06-18T15:14:16.000Z",
  "title": "Compressed Simulation of evolutions of the XY-model",
  "authors": [
    "Walter L. Boyajian",
    "Valentin Murg",
    "Barbara Kraus"
  ],
  "comment": "20 pages, 11 figures, corrected minor typos",
  "journal": "Phys. Rev. A 88, 052329 (2013)",
  "doi": "10.1103/PhysRevA.88.052329",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We extend the notion of compressed quantum simulation to the XY-model. We derive a quantum circuit processing log(n) qubits which simulates the 1D XY-model describing n qubits. In particular, we demonstrate how the adiabatic evolution can be realized on this exponentially smaller system and how the magnetization, which witnesses a quantum phase transition can be observed. Furthermore, we analyze several dynamical processes, like quantum quenching and finite time evolution and derive the corresponding compressed quantum circuit.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-06-18T15:14:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Ac"
    ],
    "keywords": [
      "compressed simulation",
      "finite time evolution",
      "quantum circuit processing log",
      "quantum phase transition",
      "compressed quantum simulation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2013,
      "month": "Nov",
      "volume": 88,
      "number": 5,
      "pages": "052329"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013PhRvA..88e2329B"
    }
  }
}