{
  "id": "1306.5358",
  "version": "v3",
  "published": "2013-06-22T21:42:41.000Z",
  "updated": "2013-10-01T23:57:10.000Z",
  "title": "Monotonicity of a relative Rényi entropy",
  "authors": [
    "Rupert L. Frank",
    "Elliott H. Lieb"
  ],
  "comment": "6 pages; minor revisions",
  "categories": [
    "math-ph",
    "cs.IT",
    "math.FA",
    "math.IT",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We show that a recent definition of relative R\\'enyi entropy is monotone under completely positive, trace preserving maps. This proves a recent conjecture of M\\\"uller-Lennert et al.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-10-01T23:57:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.70.Ce"
    ],
    "keywords": [
      "relative rényi entropy",
      "monotonicity",
      "trace preserving maps",
      "relative renyi entropy"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.4838835",
      "journal": "Journal of Mathematical Physics",
      "year": 2013,
      "month": "Dec",
      "volume": 54,
      "number": 12,
      "pages": 2201
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013JMP....54l2201F"
    }
  }
}