{
  "id": "1307.3288",
  "version": "v2",
  "published": "2013-07-11T22:35:36.000Z",
  "updated": "2013-11-23T01:00:57.000Z",
  "title": "Theory of genuine tripartite nonlocality of Gaussian states",
  "authors": [
    "Gerardo Adesso",
    "Samanta Piano"
  ],
  "comment": "5 pages, 2 figures. To appear in PRL",
  "journal": "Phys. Rev. Lett. 112, 010401 (2014)",
  "doi": "10.1103/PhysRevLett.112.010401",
  "categories": [
    "quant-ph",
    "cond-mat.other",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We investigate the genuine multipartite nonlocality of three-mode Gaussian states of continuous variable systems. For pure states, we present a simplified procedure to obtain the maximum violation of the Svetlichny inequality based on displaced parity measurements, and we analyze its interplay with genuine tripartite entanglement measured via Renyi-2 entropy. The maximum Svetlichny violation admits tight upper and lower bounds at fixed tripartite entanglement. For mixed states, no violation is possible when the purity falls below 0.86. We also explore a set of recently derived weaker inequalities for three-way nonlocality, finding violations for all tested pure states. Our results provide a strong signature for the nonclassical and nonlocal nature of Gaussian states despite their positive Wigner function, and lead to precise recipes for its experimental verification.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-23T01:00:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Ud",
      "03.67.Mn",
      "42.50.Dv"
    ],
    "keywords": [
      "genuine tripartite nonlocality",
      "gaussian states",
      "svetlichny violation admits tight upper",
      "maximum svetlichny violation admits tight",
      "pure states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2014,
      "month": "Jan",
      "volume": 112,
      "number": 1,
      "pages": "010401"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhRvL.112a0401A"
    }
  }
}