{
  "id": "0903.1462",
  "version": "v2",
  "published": "2009-03-08T22:13:51.000Z",
  "updated": "2009-04-09T16:42:47.000Z",
  "title": "Contextuality and nonlocality in 'no signaling' theories",
  "authors": [
    "Jeffrey Bub",
    "Allen Stairs"
  ],
  "comment": "22 pages. Changes to Introduction and final Commentary section. Added two tables, one to Section 5, and some new references",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We define a family of 'no signaling' bipartite boxes with arbitrary inputs and binary outputs, and with a range of marginal probabilities. The defining correlations are motivated by the Klyachko version of the Kochen-Specker theorem, so we call these boxes Kochen-Specker-Klyachko boxes or, briefly, KS-boxes. The marginals cover a variety of cases, from those that can be simulated classically to the superquantum correlations that saturate the Clauser-Horne-Shimony-Holt inequality, when the KS-box is a generalized PR-box (hence a vertex of the `no signaling' polytope). We show that for certain marginal probabilities a KS-box is classical with respect to nonlocality as measured by the Clauser-Horne-Shimony-Holt correlation, i.e., no better than shared randomness as a resource in simulating a PR-box, even though such KS-boxes cannot be perfectly simulated by classical or quantum resources for all inputs. We comment on the significance of these results for contextuality and nonlocality in 'no signaling' theories.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-04-09T16:42:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlocality",
      "contextuality",
      "marginal probabilities",
      "boxes kochen-specker-klyachko boxes",
      "arbitrary inputs"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s10701-009-9307-8",
      "journal": "Foundations of Physics",
      "year": 2009,
      "month": "Jul",
      "volume": 39,
      "number": 7,
      "pages": 690
    },
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009FoPh...39..690B"
    }
  }
}