{
  "id": "1106.0979",
  "version": "v2",
  "published": "2011-06-06T07:59:49.000Z",
  "updated": "2016-04-07T09:09:52.000Z",
  "title": "Transition Probability (Fidelity) and Its Relatives",
  "authors": [
    "Armin Uhlmann"
  ],
  "comment": "Talk at the 2009 Vaexoe Quantum Theory Conference. 11 pages",
  "journal": "Found. Phys. (2011) 41: 288-298",
  "doi": "10.1007/s10701-009-9381-y",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Transition Probability (fidelity) for pairs of density operators can be defined as \"functor\" in the hierarchy of \"all\" quantum systems and also within any quantum system. The introduction of \"amplitudes\" for density operators allows for a more intuitive treatment of these quantities, also pointing to a natural parallel transport. The latter is governed by a remarkable gauge theory with strong relations to the Riemann-Bures metric.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-06T07:59:49.000Z"
    },
    {
      "version": "v2",
      "updated": "2016-04-07T09:09:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "transition probability",
      "quantum system",
      "density operators",
      "natural parallel transport",
      "gauge theory"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "publication": {
      "journal": "Foundations of Physics",
      "year": 2011,
      "month": "Mar",
      "volume": 41,
      "number": 3,
      "pages": 288,
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011FoPh...41..288U"
    }
  }
}