{
  "id": "1606.00854",
  "version": "v1",
  "published": "2016-06-02T20:20:32.000Z",
  "updated": "2016-06-02T20:20:32.000Z",
  "title": "New information inequality for Clebsch-Gordan coefficients",
  "authors": [
    "V. N. Chernega",
    "O. V. Manko",
    "V. I. Manko",
    "Z. Seilov"
  ],
  "comment": "10 pages, 1 figure",
  "categories": [
    "quant-ph"
  ],
  "abstract": "The Clebsch-Gordan coefficients of the group SU(2) are shown to satisfy known inequalities for Shannon and Tsallis entropies. The inequalities associated with the Wigner 3-j symbols are obtained using the relation of Clebsch-Gordan coefficients with probability distributions interpreted either as distributions for composite systems or distributions for noncomposite systems. The new inequalities are presented for Hahn polynomials and hypergeometric functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-02T20:20:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "clebsch-gordan coefficients",
      "information inequality",
      "tsallis entropies",
      "group su",
      "probability distributions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}