{
  "id": "1105.5380",
  "version": "v1",
  "published": "2011-05-26T19:30:26.000Z",
  "updated": "2011-05-26T19:30:26.000Z",
  "title": "Local extrema of entropy functions under tensor products",
  "authors": [
    "Shmuel Friedland",
    "Gilad Gour",
    "Aidan Roy"
  ],
  "comment": "9 pages, comments are welcome",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We show that under a certain condition of local commutativity the minimum von-Neumann entropy output of a quantum channel is locally additive. We also show that local minima of the 2-norm entropy functions are closed under tensor products if one of the subspaces has dimension 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-26T19:30:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tensor products",
      "entropy functions",
      "local extrema",
      "minimum von-neumann entropy output",
      "local minima"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.5380F"
    }
  }
}