{
  "id": "quant-ph/0701138",
  "version": "v2",
  "published": "2007-01-19T10:31:41.000Z",
  "updated": "2007-02-05T03:53:24.000Z",
  "title": "Fidelity of quantum operations",
  "authors": [
    "Line Hjortshoj Pedersen",
    "Klaus Molmer",
    "Niels Martin Moller"
  ],
  "comment": "5 pages, no figures. The text has been modified to acknowledge that our Eq.(1) has appeared already in quant-ph/0503243 and quant-ph/0512217",
  "journal": "Phys. Lett. A 367 (2007), no. 1-2, 47--51.",
  "doi": "10.1016/j.physleta.2007.02.069",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We present a derivation and numerous applications of a compact explicit formula for the average fidelity of a quantum operation on a finite dimensional quantum system. The formula can be applied to averages over particularly relevant subspaces; it is easily generalized to multi-component systems, and as a special result, we show that when the same completely positive trace-preserving map is applied to a large number of qubits with one-bit fidelity F close to unity, the average fidelity of the operation on the full K-bit register scales as $F^{3K/2}$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-02-05T03:53:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum operation",
      "full k-bit register scales",
      "finite dimensional quantum system",
      "average fidelity",
      "compact explicit formula"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}