{
  "id": "0909.3720",
  "version": "v2",
  "published": "2009-09-21T09:38:58.000Z",
  "updated": "2010-07-16T13:44:17.000Z",
  "title": "Limits on entropic uncertainty relations for 3 and more MUBs",
  "authors": [
    "Andris Ambainis"
  ],
  "comment": "11 pages, many small corrections, this version to appear in QIC",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We consider entropic uncertainty relations for outcomes of the measurements of a quantum state in 3 or more mutually unbiased bases (MUBs), chosen from the standard construction of MUBs in prime dimension. We show that, for any choice of 3 MUBs and at least one choice of a larger number of MUBs, the best possible entropic uncertainty relation can be only marginally better than the one that trivially follows from the relation by Maassen and Uffink (PRL, 1987) for 2 bases.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-07-16T13:44:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "entropic uncertainty relation",
      "standard construction",
      "prime dimension",
      "larger number",
      "quantum state"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.3720A"
    }
  }
}