{
  "id": "1301.7240",
  "version": "v3",
  "published": "2013-01-30T14:26:39.000Z",
  "updated": "2013-07-30T07:24:50.000Z",
  "title": "Upper bound and shareability of quantum discord based on entropic uncertainty relations",
  "authors": [
    "Ming-Liang Hu",
    "Heng Fan"
  ],
  "comment": "5 pages, 1 figure, the final version as that published in Phys. Rev. A",
  "journal": "Phys. Rev. A 88, 014105 (2013)",
  "doi": "10.1103/PhysRevA.88.014105",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "By using the quantum-memory-assisted entropic uncertainty relation (EUR), we derive a computable tight upper bound for quantum discord, which applies to an arbitrary bipartite state. Detailed examples show that this upper bound is tighter than other known bounds in a wide regime. Furthermore, we show that for any tripartite pure state, the quantum-memory-assisted EUR imposes a constraint on the shareability of quantum correlations among the constituent parties. This conclusion amends the well accepted result that quantum discord is not monogamous.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-07-30T07:24:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Ta",
      "03.67.Mn",
      "03.65.Yz"
    ],
    "keywords": [
      "quantum discord",
      "shareability",
      "computable tight upper bound",
      "arbitrary bipartite state",
      "tripartite pure state"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2013,
      "month": "Jul",
      "volume": 88,
      "number": 1,
      "pages": "014105"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013PhRvA..88a4105H"
    }
  }
}