{
  "id": "math-ph/0411074",
  "version": "v1",
  "published": "2004-11-24T15:03:07.000Z",
  "updated": "2004-11-24T15:03:07.000Z",
  "title": "A simple proof of the Jamiolkowski criterion for complete positivity of linear maps of algebras of Hilbert-Schmidt operators",
  "authors": [
    "D. Salgado",
    "J. L. Sanchez-Gomez"
  ],
  "comment": "9 pages, no figures. Latex class svmult.cls required",
  "journal": "In R.F. Alvarez-Estrada et al (eds.), Fundamental Physics Meeting \"Alberto Galindo\", Dpto. Fisica Teorica UCM, Madrid, 2004 (mostly in English)",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We generalize a preceding simple proof of the Jamiolkowski criterion to check whether a given linear map between algebras of operators is completely positive or not. The generalization is performed to embrace all algebras of Hilbert-Schmidt class operators, thus possibly infinite-dimensional.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-11-24T15:03:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "jamiolkowski criterion",
      "linear map",
      "complete positivity",
      "hilbert-schmidt operators",
      "hilbert-schmidt class operators"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.ph..11074S"
    }
  }
}