{
  "id": "1302.7034",
  "version": "v3",
  "published": "2013-02-27T23:51:38.000Z",
  "updated": "2013-06-09T00:12:26.000Z",
  "title": "Geometric quantum discord through the Schatten 1-norm",
  "authors": [
    "F. M. Paula",
    "Thiago. R. de Oliveira",
    "M. S. Sarandy"
  ],
  "comment": "v3: published version",
  "journal": "Phys. Rev. A 87, 064101 (2013)",
  "doi": "10.1103/PhysRevA.87.064101",
  "categories": [
    "quant-ph"
  ],
  "abstract": "It has recently been pointed out that the geometric quantum discord, as defined by the Hilbert-Schmidt norm (2-norm), is not a good measure of quantum correlations, since it may increase under local reversible operations on the unmeasured subsystem. Here, we revisit the geometric discord by considering general Schatten p-norms, explicitly showing that the 1-norm is the only p-norm able to define a consistent quantum correlation measure. In addition, by restricting the optimization to the tetrahedron of two-qubit Bell-diagonal states, we provide an analytical expression for the 1-norm geometric discord, which turns out to be equivalent to the negativity of quantumness. We illustrate the measure by analyzing its monotonicity properties.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-06-09T00:12:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Ud",
      "03.67.Mn",
      "75.10.Jm"
    ],
    "keywords": [
      "geometric quantum discord",
      "consistent quantum correlation measure",
      "geometric discord",
      "two-qubit bell-diagonal states",
      "considering general schatten p-norms"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2013,
      "month": "Jun",
      "volume": 87,
      "number": 6,
      "pages": "064101"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013PhRvA..87f4101P"
    }
  }
}