{
  "id": "2101.09272",
  "version": "v1",
  "published": "2021-01-22T18:52:13.000Z",
  "updated": "2021-01-22T18:52:13.000Z",
  "title": "Fusion of Majorana Bound States with Mini-Gate Control in Two-Dimensional Systems",
  "authors": [
    "Tong Zhou",
    "Matthieu C. Dartiailh",
    "Kasra Sardashti",
    "Jong E. Han",
    "Alex Matos-Abiague",
    "Javad Shabani",
    "Igor Zutic"
  ],
  "comment": "12 pages, 10 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.mtrl-sci",
    "cond-mat.stat-mech",
    "cond-mat.supr-con"
  ],
  "abstract": "A hallmark of topological superconductivity is the non-Abelian statistics of Majorana bound states (MBS), its chargeless zero-energy emergent quasiparticles. The resulting fractionalization of a single electron, stored nonlocally as a two spatially separated MBS, provides a powerful platform for implementing fault-tolerant topological quantum computing. However, despite intensive efforts, experimental support for MBS remains indirect and does not probe their non-Abelian statistics. Here we propose how to overcome this obstacle in mini-gate controlled planar Josephson junctions (JJ) and demonstrate non-Abelian statistics through MBS fusion, detected by charge sensing using a quantum point contact. The feasibility of preparing, manipulating, and fusing MBS in two-dimensional (2D) systems is supported in our experiments which demonstrate the control of superconducting properties with five mini gates in InAs/Al-based JJs. While we focus on this well-established platform, where the topological superconductivity was already experimentally detected, our proposal to identify elusive non-Abelian statistics motivates also further MBS studies in other gate-controlled 2D systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-22T18:52:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "majorana bound states",
      "mini-gate control",
      "two-dimensional systems",
      "elusive non-abelian statistics motivates",
      "controlled planar josephson junctions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}