{
  "id": "0811.1649",
  "version": "v2",
  "published": "2008-11-11T09:02:29.000Z",
  "updated": "2010-12-17T12:45:02.000Z",
  "title": "The non-locality of n noisy Popescu-Rohrlich boxes",
  "authors": [
    "Matthias Fitzi",
    "Esther Hänggi",
    "Valerio Scarani",
    "Stefan Wolf"
  ],
  "comment": "14 pages, v2: published version",
  "journal": "J. Phys. A: Math. Theor. 43 465305 (2010)",
  "doi": "10.1088/1751-8113/43/46/465305",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We quantify the amount of non-locality contained in n noisy versions of so-called Popescu-Rohrlich boxes (PRBs), i.e., bipartite systems violating the CHSH Bell inequality maximally. Following the approach by Elitzur, Popescu, and Rohrlich, we measure the amount of non-locality of a system by representing it as a convex combination of a local behaviour, with maximal possible weight, and a non-signalling system. We show that the local part of n systems, each of which approximates a PRB with probability $1-\\epsilon$, is of order $\\Theta(\\epsilon^{\\lceil n/2\\rceil})$ in the isotropic, and equal to $(3\\epsilon)^n$ in the maximally biased case.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-12-17T12:45:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Ud",
      "05.30.-d",
      "03.67.Dd"
    ],
    "keywords": [
      "noisy popescu-rohrlich boxes",
      "non-locality",
      "chsh bell inequality",
      "bipartite systems",
      "noisy versions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009AIPC.1110..113F"
    }
  }
}