{
  "id": "1202.2259",
  "version": "v1",
  "published": "2012-02-10T13:51:57.000Z",
  "updated": "2012-02-10T13:51:57.000Z",
  "title": "A Sequence of Quantum Gates",
  "authors": [
    "Yorick Hardy",
    "Willi-Hans Steeb"
  ],
  "comment": "10 pages, LaTeX",
  "journal": "Int. J. Geom. Methods Mod. Phys. 9 (2012) 1220013",
  "doi": "10.1142/S0219887812200137",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We study a sequence of quantum gates in finite-dimensional Hilbert spaces given by the normalized eigenvectors of the unitary operators. The corresponding sequence of the Hamilton operators is also given. From the Hamilton operators we construct another hierarchy of quantum gates via the Cayley transform.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-10T13:51:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "40A05",
      "15B99",
      "81P68"
    ],
    "keywords": [
      "quantum gates",
      "hamilton operators",
      "finite-dimensional hilbert spaces",
      "unitary operators",
      "cayley transform"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.2259H"
    }
  }
}