{
  "id": "quant-ph/0011053",
  "version": "v1",
  "published": "2000-11-13T16:19:28.000Z",
  "updated": "2000-11-13T16:19:28.000Z",
  "title": "On the fidelity of two pure states",
  "authors": [
    "Andreas Winter"
  ],
  "comment": "LaTeX2e, 8 pages, submitted to J. Phys. A: Math. and Gen",
  "journal": "J. Phys. A: Math. Gen., vol. 34(35), pp 7095-7101, 2001.",
  "doi": "10.1088/0305-4470/34/35/333",
  "categories": [
    "quant-ph"
  ],
  "abstract": "The fidelity of two pure states (also known as transition probability) is a symmetric function of two operators, and well-founded operationally as an event probability in a certain preparation-test pair. Motivated by the idea that the fidelity is the continuous quantum extension of the combinatorial equality function, we enquire whether there exists a symmetric operational way of obtaining the fidelity. It is shown that this is impossible. Finally, we discuss the optimal universal approximation by a quantum operation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-11-13T16:19:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pure states",
      "optimal universal approximation",
      "symmetric operational way",
      "combinatorial equality function",
      "symmetric function"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}