{
  "id": "2210.13093",
  "version": "v1",
  "published": "2022-10-24T10:23:29.000Z",
  "updated": "2022-10-24T10:23:29.000Z",
  "title": "On Uhlmann's proof of the Monotonicity of the Relative Entropy",
  "authors": [
    "Juan Manuel Pérez-Pardo"
  ],
  "comment": "To be published in Particles, Fields and Topology: Celebrating A.P. Balachandran, a Festschrift volume for A.P. Balachandran",
  "categories": [
    "math-ph",
    "math.MP",
    "math.OA"
  ],
  "abstract": "This article presents in a self-contained way A. Uhlmann's celebrated Theorem of monotonicity of the relative entropy under completely positive and trace preserving maps. The Theorem is presented in its more general form and meaningful examples are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-24T10:23:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "relative entropy",
      "uhlmanns proof",
      "monotonicity",
      "uhlmanns celebrated theorem",
      "trace preserving maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}