{
  "id": "1308.3287",
  "version": "v1",
  "published": "2013-08-15T02:03:53.000Z",
  "updated": "2013-08-15T02:03:53.000Z",
  "title": "The CHSH-type inequalities for infinite-dimensional quantum systems",
  "authors": [
    "Yu Guo"
  ],
  "comment": "9 pages. arXiv admin note: text overlap with arXiv:1006.3557 by other authors",
  "journal": "Modern Physics Letters B Vol. 27, No. 21 (2013) 1350151",
  "doi": "10.1142/S0217984913501510",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "By establishing CHSH operators and CHSH-type inequalities, we show that any entangled pure state in infinite-dimensional systems is entangled in a $2\\otimes2$ subspace. We find that, for infinite-dimensional systems, the corresponding properties are similar to that of the two-qubit case: (i) The CHSH-type inequalities provide a sufficient and necessary condition for separability of pure states; (ii) The CHSH operators satisfy the Cirel'son inequalities; (iii) Any state which violates one of these Bell inequalities is distillable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-15T02:03:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "infinite-dimensional quantum systems",
      "chsh-type inequalities",
      "infinite-dimensional systems",
      "chsh operators satisfy",
      "entangled pure state"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Modern Physics Letters B",
      "year": 2013,
      "month": "Aug",
      "volume": 27,
      "number": 21,
      "pages": 1350151
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013MPLB...2750151G"
    }
  }
}