{
  "id": "0910.1439",
  "version": "v1",
  "published": "2009-10-08T08:09:21.000Z",
  "updated": "2009-10-08T08:09:21.000Z",
  "title": "On the connection between mutually unbiased bases and orthogonal Latin squares",
  "authors": [
    "T. Paterek",
    "M. Pawlowski",
    "M. Grassl",
    "C. Brukner"
  ],
  "comment": "6 pages, submitted to Proceedings of CEWQO 2009",
  "journal": "Phys. Scr. T140, 014031 (2010)",
  "doi": "10.1088/0031-8949/2010/T140/014031",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We offer a piece of evidence that the problems of finding the number of mutually unbiased bases (MUB) and mutually orthogonal Latin squares (MOLS) might not be equivalent. We study a particular procedure which has been shown to relate the two problems and generates complete sets of MUBs in power-of-prime dimensions and three MUBs in dimension six. For these cases, every square from an augmented set of MOLS has a corresponding MUB. We show that this no longer holds for certain composite dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-08T08:09:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mutually unbiased bases",
      "connection",
      "mutually orthogonal latin squares",
      "generates complete sets",
      "power-of-prime dimensions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physica Scripta Volume T",
      "year": 2010,
      "month": "Sep",
      "volume": 140,
      "pages": "014031"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhST..140a4031P"
    }
  }
}