{
  "id": "1205.3000",
  "version": "v2",
  "published": "2012-05-14T12:24:42.000Z",
  "updated": "2013-02-25T14:10:02.000Z",
  "title": "Scale invariance of entanglement dynamics in Grover's quantum search algorithm",
  "authors": [
    "M. Rossi",
    "D. Bruß",
    "C. Macchiavello"
  ],
  "comment": "5 pages, 4 figures, significantly improved version",
  "journal": "Phys. Rev. A 87, 022331 (2013)",
  "doi": "10.1103/PhysRevA.87.022331",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We calculate the amount of entanglement of the multiqubit quantum states employed in the Grover algorithm, by following its dynamics at each step of the computation. We show that genuine multipartite entanglement is always present. Remarkably, the dynamics of any type of entanglement as well as of genuine multipartite entanglement is independent of the number n of qubits for large n, thus exhibiting a scale invariance property. We compare this result with the entanglement dynamics induced by a fixed-point quantum search algorithm. We also investigate criteria for efficient simulatability in the context of Grover's algorithm.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-25T14:10:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Ac",
      "03.67.Mn",
      "89.75.Da"
    ],
    "keywords": [
      "grovers quantum search algorithm",
      "entanglement dynamics",
      "genuine multipartite entanglement",
      "fixed-point quantum search algorithm",
      "multiqubit quantum states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2013,
      "month": "Feb",
      "volume": 87,
      "number": 2,
      "pages": "022331"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013PhRvA..87b2331R"
    }
  }
}