{
  "id": "1301.1094",
  "version": "v2",
  "published": "2013-01-07T02:02:04.000Z",
  "updated": "2013-01-10T16:05:44.000Z",
  "title": "Confusability graphs for symmetric sets of quantum states",
  "authors": [
    "Giulio Chiribella",
    "Yuxiang Yang"
  ],
  "comment": "7 pages, no figures, contribution to the Proceedings of the XXIX International Colloquium on Group-Theoretical Methods in Physics, August 22-26, Chern Institute of Mathematics, Tianjin, China",
  "journal": "Symmetries and Groups in Contemporary Physics, C. Bai, J.P. Gazeau, and M.- L. Ge eds., Nankai Series in Pure, Applied Mathematics and Theoretical Physics, 11 (2013)",
  "doi": "10.1142/9789814518550_0031",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "For a set of quantum states generated by the action of a group, we consider the graph obtained by considering two group elements adjacent whenever the corresponding states are non-orthogonal. We analyze the structure of the connected components of the graph and show two applications to the optimal estimation of an unknown group action and to the search for decoherence free subspaces of quantum channels with symmetry.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-01-10T16:05:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum states",
      "symmetric sets",
      "confusability graphs",
      "group elements adjacent",
      "unknown group action"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}