{
  "id": "1906.06269",
  "version": "v1",
  "published": "2019-06-14T16:12:53.000Z",
  "updated": "2019-06-14T16:12:53.000Z",
  "title": "Equivalence between non-Markovian dynamics and correlation backflows",
  "authors": [
    "Dario De Santis"
  ],
  "comment": "9 pages, 2 figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "The information encoded into an open quantum system that evolves under a Markovian dynamics is always monotonically decreasing. Nonetheless, given a quantifier for the information contained in the system, in general it is not clear if for any non-Markovian dynamics it is possible to observe a non-monotonic evolution of this quantity, namely a backflow. We address this problem by considering correlations of finite-dimensional bipartite systems. For this purpose, we introduce a class of correlation measures and we prove that there exists at least one element from this class that provides a correlation backflow if and only if the dynamics is non-Markovian. Moreover, we provide a set of initial probe states that accomplish this witnessing task. This result provides the first one-to-one relation between non-Markovian dynamics of finite-dimensional quantum systems and correlation backflows.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-14T16:12:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-markovian dynamics",
      "correlation backflow",
      "equivalence",
      "finite-dimensional bipartite systems",
      "first one-to-one relation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}