{
  "id": "1804.04328",
  "version": "v1",
  "published": "2018-04-12T05:54:29.000Z",
  "updated": "2018-04-12T05:54:29.000Z",
  "title": "Full counting statistics of information content",
  "authors": [
    "Yasuhiro Utsumi"
  ],
  "comment": "16 pages, 5 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "We review connections between the cumulant generating function of full counting statistics of particle number and the R\\'enyi entanglement entropy. We calculate these quantities based on the fermionic and bosonic path-integral defined on multiple Keldysh contours. We relate the R\\'enyi entropy with the information generating function, from which the probability distribution function of self-information is obtained in the nonequilibrium steady state. By exploiting the distribution, we analyze the information content carried by a single bosonic particle through a narrow-band quantum communication channel. The ratio of the self-information content to the number of bosons fluctuates. For a small boson occupation number, the average and the fluctuation of the ratio are enhanced.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-12T05:54:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "full counting statistics",
      "information content",
      "small boson occupation number",
      "narrow-band quantum communication channel",
      "renyi entanglement entropy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}