{
  "id": "1112.6370",
  "version": "v2",
  "published": "2011-12-29T18:34:13.000Z",
  "updated": "2012-03-05T14:45:42.000Z",
  "title": "Unified view of correlations using the square norm distance",
  "authors": [
    "Bruno Bellomo",
    "Gian Luca Giorgi",
    "Fernando Galve",
    "Rosario Lo Franco",
    "Giuseppe Compagno",
    "Roberta Zambrini"
  ],
  "comment": "10 pages, 3 figures (to appear in Phys. Rev. A)",
  "journal": "Physical Review A 85, 032104 (2012)",
  "doi": "10.1103/PhysRevA.85.032104",
  "categories": [
    "quant-ph"
  ],
  "abstract": "The distance between a quantum state and its closest state not having a certain property has been used to quantify the amount of correlations corresponding to that property. This approach allows a unified view of the various kinds of correlations present in a quantum system. In particular, using relative entropy as a distance measure, total correlations can be meaningfully separated in a quantum and a classical part thanks to an additive relation involving only distances between states. Here, we investigate a unified view of correlations using as distance measure the square norm, already used to define the so-called geometric quantum discord. We thus consider geometric quantifiers also for total and classical correlations finding, for a quite general class of bipartite states, their explicit expressions. We analyze the relationship among geometric total, quantum and classical correlations and we find that they do not satisfy anymore a closed additivity relation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-03-05T14:45:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Ud",
      "03.67.Mn",
      "03.65.Yz"
    ],
    "keywords": [
      "square norm distance",
      "unified view",
      "distance measure",
      "quite general class",
      "classical correlations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2012,
      "month": "Mar",
      "volume": 85,
      "number": 3,
      "pages": "032104"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvA..85c2104B"
    }
  }
}