{
  "id": "0911.0182",
  "version": "v3",
  "published": "2009-11-01T17:06:51.000Z",
  "updated": "2010-03-25T15:42:34.000Z",
  "title": "Quantum Stochastic Processes, Quantum Iterated Function Systems and Entropy",
  "authors": [
    "A. Baraviera",
    "C. F. Lardizabal",
    "Artur O. Lopes",
    "M. Terra Cunha"
  ],
  "journal": "Sao Paulo Journal of Mathematical Sciences Vol. 5, No. 1, p. 51-84, 2011",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We describe some basic results for Quantum Stochastic Processes and present some new results about a certain class of processes which are associated to Quantum Iterated Function Systems (QIFS). We discuss questions related to the Markov property and we present a definition of entropy which is induced by a QIFS. This definition is a natural generalization of the Shannon-Kolmogorov entropy from Ergodic Theory. This definition is different from the one in the paper \"A Thermodynamic Formalism for density matrices in Quantum Information\" by the same authors.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-03-25T15:42:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A35",
      "37D35",
      "46L55",
      "46L30",
      "46L60",
      "82C10",
      "81Q50"
    ],
    "keywords": [
      "quantum iterated function systems",
      "quantum stochastic processes",
      "definition",
      "natural generalization",
      "basic results"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.0182B"
    }
  }
}