{
  "id": "0906.4960",
  "version": "v1",
  "published": "2009-06-26T14:44:25.000Z",
  "updated": "2009-06-26T14:44:25.000Z",
  "title": "Quantum divisibility test and its application in mesoscopic physics",
  "authors": [
    "G. B. Lesovik",
    "M. V. Suslov",
    "G. Blatter"
  ],
  "comment": "9 pages, 5 figures",
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "We present a quantum algorithm to transform the cardinality of a set of charged particles flowing along a quantum wire into a binary number. The setup performing this task (for at most N particles) involves log_2 N quantum bits serving as counters and a sequential read out. Applications include a divisibility check to experimentally test the size of a finite train of particles in a quantum wire with a one-shot measurement and a scheme allowing to entangle multi-particle wave functions and generating Bell states, Greenberger-Horne-Zeilinger states, or Dicke states in a Mach-Zehnder interferometer.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-26T14:44:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Ac",
      "03.67.Bg",
      "73.23.-b"
    ],
    "keywords": [
      "quantum divisibility test",
      "mesoscopic physics",
      "application",
      "quantum wire",
      "entangle multi-particle wave functions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevA.82.012316",
      "journal": "Physical Review A",
      "year": 2010,
      "month": "Jul",
      "volume": 82,
      "number": 1,
      "pages": "012316"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvA..82a2316L"
    }
  }
}