{
  "id": "0802.0626",
  "version": "v1",
  "published": "2008-02-05T14:24:56.000Z",
  "updated": "2008-02-05T14:24:56.000Z",
  "title": "Bounds on Effective Hamiltonians for Stabilizer Codes",
  "authors": [
    "Stephen S. Bullock",
    "Dianne P. O'Leary"
  ],
  "comment": "12 pages, two algorithms, one figure, to be submitted to QIC",
  "categories": [
    "quant-ph"
  ],
  "abstract": "This manuscript introduces various notions of k-locality of stabilizer codes inherited from the associated stabilizer groups. A choice of generators for the group leads to a Hamiltonian with the code in its groundspace, while a Hamiltonian holding the code in its groundspace might be called effective if its locality is less than that of a natural choice of generators (or any choice). This paper establishes some conditions under which effective Hamiltonians for stabilizer codes do not exist. Our results simplify in the cases of Calderbank-Shor-Steane stabilizer codes and topologically-ordered stabilizer codes arising from surface cellulations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-02-05T14:24:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "effective hamiltonians",
      "calderbank-shor-steane stabilizer codes",
      "natural choice",
      "groundspace",
      "associated stabilizer groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.0626B"
    }
  }
}