{
  "id": "1402.0378",
  "version": "v1",
  "published": "2014-02-03T13:24:36.000Z",
  "updated": "2014-02-03T13:24:36.000Z",
  "title": "Optimisation of Bell inequalities with invariant Tsirelson bound",
  "authors": [
    "Michael Epping",
    "Hermann Kampermann",
    "Dagmar Bruß"
  ],
  "comment": "12 pages, 2 figures; contribution to special issue of JPA: 50 years of Bell's theorem",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We consider a subclass of bipartite CHSH-type Bell inequalities. We investigate operations, which leave their Tsirelson bound invariant, but change their classical bound. The optimal observables are unaffected except for a relative rotation of the two laboratories. We illustrate the utility of these operations by giving explicit examples: We prove that for a fixed quantum state and fixed measurement setup except for a relative rotation of the two laboratories, there is a Bell inequality that is maximally violated for this rotation, and we optimise some Bell inequalities with respect to the maximal violation. Finally we optimise the qutrit to qubit ratio of some dimension witnessing Bell inequalities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-03T13:24:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bell inequality",
      "invariant tsirelson bound",
      "bipartite chsh-type bell inequalities",
      "optimisation",
      "tsirelson bound invariant"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/47/42/424015",
      "journal": "Journal of Physics A Mathematical General",
      "year": 2014,
      "month": "Oct",
      "volume": 47,
      "number": 42,
      "pages": 424015
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014JPhA...47P4015E"
    }
  }
}