{
  "id": "1601.07808",
  "version": "v1",
  "published": "2016-01-28T15:54:00.000Z",
  "updated": "2016-01-28T15:54:00.000Z",
  "title": "Characterizing the dynamical semigroups that do not decrease a quantum entropy",
  "authors": [
    "Paolo Aniello",
    "Dariusz Chruscinski"
  ],
  "comment": "24 pages",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In finite dimensions, we provide characterizations of the quantum dynamical semigroups that do not decrease the von Neumann, the Tsallis and the Renyi entropies, as well as a family of functions of density operators strictly related to the Schatten norms. A few remarkable consequences --- in particular, a description of the associated infinitesimal generators --- are derived, and some significant examples are discussed. Extensions of these results to semigroups of trace-preserving positive (i.e., not necessarily completely positive) maps and to a more general class of quantum entropies are also considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-28T15:54:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum entropy",
      "density operators",
      "general class",
      "finite dimensions",
      "significant examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160107808A"
    }
  }
}