{
  "id": "1902.07569",
  "version": "v1",
  "published": "2019-02-20T14:21:02.000Z",
  "updated": "2019-02-20T14:21:02.000Z",
  "title": "Transferring the quantum state of electrons across a Fermi sea with Coulomb interaction",
  "authors": [
    "H. Duprez",
    "E. Sivre",
    "A. Anthore",
    "A. Aassime",
    "A. Cavanna",
    "U. Gennser",
    "F. Pierre"
  ],
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el",
    "quant-ph"
  ],
  "abstract": "The Coulomb interaction generally limits the quantum propagation of electrons. However, it can also provide a mechanism to transfer their quantum state over larger distances. Here, we demonstrate such a form of teleportation, across a metallic island within which the electrons are trapped much longer than their quantum lifetime. This effect originates from the low temperature freezing of the island's charge $Q$ which, in the presence of a single connected electronic channel, enforces a one-to-one correspondence between incoming and outgoing electrons. Such high-fidelity quantum state imprinting is established between well-separated injection and emission locations, through two-path interferences in the integer quantum Hall regime. The added electron quantum phase of $2\\pi Q/e$ can allow for strong and decoherence-free entanglement of propagating electrons, and notably of flying qubits.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-20T14:21:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coulomb interaction",
      "fermi sea",
      "integer quantum hall regime",
      "single connected electronic channel",
      "added electron quantum phase"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}