{
  "id": "quant-ph/0509133",
  "version": "v1",
  "published": "2005-09-20T14:29:41.000Z",
  "updated": "2005-09-20T14:29:41.000Z",
  "title": "Joint measurements and Bell inequalities",
  "authors": [
    "Wonmin Son",
    "Erika Andersson",
    "Stephem M. Barnett",
    "M. S. Kim"
  ],
  "journal": "Phys. Rev. A 72, 052116 (2005)",
  "doi": "10.1103/PhysRevA.72.052116",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Joint quantum measurements of non-commuting observables are possible, if one accepts an increase in the measured variances. A necessary condition for a joint measurement to be possible is that a joint probability distribution exists for the measurement. This fact suggests that there may be a link with Bell inequalities, as these will be satisfied if and only if a joint probability distribution for all involved observables exists. We investigate the connections between Bell inequalities and conditions for joint quantum measurements to be possible. Mermin's inequality for the three-particle Greenberger-Horne-Zeilinger state turns out to be equivalent to the condition for a joint measurement on two out of the three quantum systems to exist. Gisin's Bell inequality for three co-planar measurement directions, meanwhile, is shown to be less strict than the condition for the corresponding joint measurement.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-09-20T14:29:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "joint probability distribution",
      "joint quantum measurements",
      "three-particle greenberger-horne-zeilinger state turns",
      "co-planar measurement directions",
      "gisins bell inequality"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. A"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}