{
  "id": "1312.4021",
  "version": "v3",
  "published": "2013-12-14T09:15:05.000Z",
  "updated": "2014-01-07T12:33:07.000Z",
  "title": "New approach to finding the maximum number of mutually unbiased bases in $\\mathbb{C}^6$",
  "authors": [
    "J. Batle"
  ],
  "comment": "5 pages, 2 figures. arXiv admin note: text overlap with arXiv:0907.4097 by other authors",
  "categories": [
    "quant-ph"
  ],
  "abstract": "There has been great interest in finding sets of $m$ mutually unbiased bases which are compatible with a given space $\\mathbb{C}^d$, specially in physics due to their interesting applications in quantum information theory. Several general results have been obtained so far, but surprising results may occur for definite $(m,d)$-values. One such case that has remained an open question (the simplest case) is the one regarding the existence of $m=4$ mutually orthogonal bases for $d=6$. In the present work we introduce a new approach to the problem by translating it into an optimization procedure for a given pair $(m,d)$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-01-07T12:33:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mutually unbiased bases",
      "maximum number",
      "quantum information theory",
      "optimization procedure",
      "great interest"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.4021B"
    }
  }
}