{
  "id": "1909.10521",
  "version": "v1",
  "published": "2019-09-23T18:00:00.000Z",
  "updated": "2019-09-23T18:00:00.000Z",
  "title": "Number conserving analysis of measurement-based braiding with Majorana zero modes",
  "authors": [
    "Christina Knapp",
    "Jukka I. Väyrynen",
    "Roman M. Lutchyn"
  ],
  "comment": "8 pages+appendices, 1 figure, comments welcome",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el",
    "quant-ph"
  ],
  "abstract": "Majorana-based quantum computation seeks to encode information non-locally in pairs of Majorana zero modes, thereby isolating qubit states from a local noisy environment. In addition to long coherence times, the attractiveness of Majorana-based quantum computing relies on achieving topologically protected Clifford gates from braiding operations. Recent works have conjectured that mean-field BCS calculations may fail to account for non-universal corrections to the Majorana braiding operations. Such errors would be detrimental to Majorana-based topological quantum computing schemes. In this work, we develop a particle-number conserving approach for measurement-based topological quantum computing and investigate the effect of quantum phase fluctuations. We demonstrate that braiding transformations are indeed topologically protected in charge-protected Majorana-based quantum computing schemes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-23T18:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "majorana zero modes",
      "number conserving analysis",
      "majorana-based quantum computing schemes",
      "topological quantum computing schemes",
      "topologically protected clifford gates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}