{
  "id": "quant-ph/0012119",
  "version": "v1",
  "published": "2000-12-21T16:21:00.000Z",
  "updated": "2000-12-21T16:21:00.000Z",
  "title": "Limits to error correction in quantum chaos",
  "authors": [
    "P. G. Silvestrov",
    "H. Schomerus",
    "C. W. J. Beenakker"
  ],
  "comment": "4 pages including 1 figure",
  "journal": "Phys.Rev.Lett. 86, 5192 (2001)",
  "doi": "10.1103/PhysRevLett.86.5192",
  "categories": [
    "quant-ph",
    "cond-mat"
  ],
  "abstract": "We study the correction of errors that have accumulated in an entangled state of spins as a result of unknown local variations in the Zeeman energy (B) and spin-spin interaction energy (J). A non-degenerate code with error rate kappa can recover the original state with high fidelity within a time kappa^1/2 / max(B,J) -- independent of the number of encoded qubits. Whether the Hamiltonian is chaotic or not does not affect this time scale, but it does affect the complexity of the error-correcting code.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-12-21T16:21:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum chaos",
      "error correction",
      "spin-spin interaction energy",
      "unknown local variations",
      "error rate kappa"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}