{
  "id": "1103.2030",
  "version": "v1",
  "published": "2011-03-10T13:27:25.000Z",
  "updated": "2011-03-10T13:27:25.000Z",
  "title": "From SICs and MUBs to Eddington",
  "authors": [
    "Ingemar Bengtsson"
  ],
  "comment": "12 pages; from the Festschrift for Tony Sudbery",
  "journal": "J. Phys. Conf. Ser. 254 (2010) 012007",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "This is a survey of some very old knowledge about Mutually Unbiased Bases (MUB) and Symmetric Informationally Complete POVMs (SIC). In prime dimensions the former are closely tied to an elliptic normal curve symmetric under the Heisenberg group, while the latter are believed to be orbits under the Heisenberg group in all dimensions. In dimensions 3 and 4 the SICs are understandable in terms of elliptic curves, but a general statement escapes us. The geometry of the SICs in 3 and 4 dimensions is discussed in some detail.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-10T13:27:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heisenberg group",
      "elliptic normal curve symmetric",
      "general statement escapes",
      "symmetric informationally complete povms",
      "old knowledge"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1742-6596/254/1/012007",
      "journal": "Journal of Physics Conference Series",
      "year": 2010,
      "month": "Nov",
      "volume": 254,
      "number": 1,
      "pages": "012007"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JPhCS.254a2007B"
    }
  }
}