{
  "id": "0707.2809",
  "version": "v1",
  "published": "2007-07-18T21:13:47.000Z",
  "updated": "2007-07-18T21:13:47.000Z",
  "title": "Multipartite positive-partial-transpose inequalities exponentially stronger than local reality inequalities",
  "authors": [
    "Koji Nagata"
  ],
  "comment": "4 pages, To appear in Phys. Rev. A",
  "journal": "Phys. Rev. A 76, 024101 (2007)",
  "doi": "10.1103/PhysRevA.76.024101",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We show that positivity of {\\it every} partial transpose of $N$-partite quantum states implies new inequalities on Bell correlations which are stronger than standard Bell inequalities by a factor of $2^{(N-1)/2}$. A violation of the inequality implies the system is in a bipartite distillable entangled state. It turns out that a family of $N$-qubit bound entangled states proposed by D\\\"ur {[Phys. Rev. Lett. {\\bf 87}, 230402 (2001)]} violates the inequality for $N\\geq 4$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-18T21:13:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Ud",
      "03.67.Mn"
    ],
    "keywords": [
      "inequality",
      "multipartite positive-partial-transpose inequalities exponentially stronger",
      "local reality inequalities",
      "partite quantum states implies",
      "standard bell inequalities"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2007,
      "month": "Aug",
      "volume": 76,
      "number": 2,
      "pages": "024101"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007PhRvA..76b4101N"
    }
  }
}