{
  "id": "cond-mat/0412343",
  "version": "v2",
  "published": "2004-12-14T02:15:26.000Z",
  "updated": "2004-12-22T05:35:25.000Z",
  "title": "Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State",
  "authors": [
    "Sankar Das Sarma",
    "Michael Freedman",
    "Chetan Nayak"
  ],
  "journal": "Phys. Rev. Lett. 94, 166802 (2005)",
  "doi": "10.1103/PhysRevLett.94.166802",
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "The Pfaffian state is an attractive candidate for the observed quantized Hall plateau at Landau level filling fraction $\\nu=5/2$. This is particularly intriguing because this state has unusual topological properties, including quasiparticle excitations with non-Abelian braiding statistics. In order to determine the nature of the $\\nu=5/2$ state, one must measure the quasiparticle braiding statistics. Here, we propose an experiment which can simultaneously determine the braiding statistics of quasiparticle excitations and, if they prove to be non-Abelian, produce a topologically-protected qubit on which a logical NOT operation is performed by quasiparticle braiding. Using the measured excitation gap at $\\nu=5/2$, we estimate the error rate to be $10^{-30}$ or lower.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-12-22T05:35:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-abelian fractional quantum hall state",
      "topologically-protected qubit",
      "braiding statistics",
      "quasiparticle excitations",
      "landau level filling fraction"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}