{
  "id": "1003.4255",
  "version": "v1",
  "published": "2010-03-22T19:53:53.000Z",
  "updated": "2010-03-22T19:53:53.000Z",
  "title": "From qubits to E7",
  "authors": [
    "Bianca L. Cerchiai",
    "Bert van Geemen"
  ],
  "comment": "29 pages",
  "categories": [
    "quant-ph",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "There is a intriguing relation between quantum information theory and super gravity, discovered by M.J. Duff and S. Ferrara. It relates entanglement measures for qubits to black hole entropy, which in a certain case involves the quartic invariant on the 56-dimensional representation of the Lie group E7. In this paper we recall the relatively straightforward manner in which three-qubits lead to E7, or at least to the Weyl group of E7. We also show how the Fano plane emerges in this context.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-22T19:53:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "04.65.+e",
      "04.70.-s",
      "05.70.Ce",
      "03.65.Ud",
      "03.67.Ac"
    ],
    "keywords": [
      "quantum information theory",
      "relates entanglement measures",
      "black hole entropy",
      "lie group e7",
      "fano plane emerges"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.3519379",
      "journal": "Journal of Mathematical Physics",
      "year": 2010,
      "month": "Dec",
      "volume": 51,
      "number": 12,
      "pages": 2203
    },
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 849564,
      "adsabs": "2010JMP....51l2203C"
    }
  }
}