{
  "id": "1112.0437",
  "version": "v2",
  "published": "2011-12-02T11:57:02.000Z",
  "updated": "2011-12-18T15:05:23.000Z",
  "title": "Barycentric measure of quantum entanglement",
  "authors": [
    "Wojciech Ganczarek",
    "Marek Kuś",
    "Karol Życzkowski"
  ],
  "comment": "11 pages, 13 figures",
  "journal": "Phys. Rev. A 85, 032314 (2012)",
  "doi": "10.1103/PhysRevA.85.032314",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Majorana representation of quantum states by a constellation of n 'stars' (points on the sphere) can be used to describe any pure state of a simple system of dimension n+1 or a permutation symmetric pure state of a composite system consisting of n qubits. We analyze the variance of the distribution of the stars, which can serve as a measure of the degree of non-coherence for simple systems, or an entanglement measure for composed systems. Dynamics of the Majorana points induced by a unitary dynamics of the pure state is investigated.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-12-18T15:05:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Mn",
      "03.65.Ud"
    ],
    "keywords": [
      "quantum entanglement",
      "barycentric measure",
      "simple system",
      "permutation symmetric pure state",
      "unitary dynamics"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2012,
      "month": "Mar",
      "volume": 85,
      "number": 3,
      "pages": "032314"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvA..85c2314G"
    }
  }
}