{
  "id": "1511.04021",
  "version": "v1",
  "published": "2015-11-12T19:24:48.000Z",
  "updated": "2015-11-12T19:24:48.000Z",
  "title": "Chaos in quantum channels",
  "authors": [
    "Pavan Hosur",
    "Xiao-Liang Qi",
    "Daniel A. Roberts",
    "Beni Yoshida"
  ],
  "comment": "44+17 pages, many figures",
  "categories": [
    "quant-ph",
    "cond-mat.stat-mech",
    "hep-th"
  ],
  "abstract": "We study chaos and scrambling in unitary channels by considering their entanglement properties as states. Using out-of-time-order correlation functions to diagnose chaos, we characterize the ability of a channel to process quantum information. We show that the generic decay of such correlators implies that any input subsystem must have near vanishing mutual information with almost all partitions of the output. Additionally, we propose the negativity of the tripartite information of the channel as a general diagnostic of scrambling. This measures the delocalization of information and is closely related to the decay of out-of-time-order correlators. We back up our results with numerics in two non-integrable models and analytic results in a perfect tensor network model of chaotic time evolution. These results show that the butterfly effect in quantum systems implies the information-theoretic definition of scrambling.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-12T19:24:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum channels",
      "perfect tensor network model",
      "process quantum information",
      "out-of-time-order correlation functions",
      "chaotic time evolution"
    ],
    "publication": {
      "doi": "10.1007/JHEP02(2016)004",
      "journal": "Journal of High Energy Physics",
      "year": 2016,
      "month": "Feb",
      "volume": 2016,
      "pages": 4
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016JHEP...02..004H",
      "inspire": 1404197
    }
  }
}