{
  "id": "1412.5213",
  "version": "v1",
  "published": "2014-12-16T22:02:36.000Z",
  "updated": "2014-12-16T22:02:36.000Z",
  "title": "A Classification of Multipartite States by Degree of Non-Locality",
  "authors": [
    "Samson Abramsky",
    "Carmen Maria Constantin"
  ],
  "comment": "16 pages",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We propose a novel form of classification of multipartite states, in terms of the maximum degree of non-locality they can exhibit under any choice of local observables. This uses the hierarchy of notions previously introduced by Abramsky and Brandenburger: strong contextuality, logical contextuality, and probabilistic contextuality. We study n-qubit pure states. We conjecture that for more than 2 parties, all entangled states are logically contextual. We prove a number of results in support of this conjecture: (1) We show that all permutation-symmetric states are logically non-local. (2) We study the class of balanced states with functional dependencies. These states are described by Boolean functions and have a rich structure, allowing a detailed analysis, which again confirms the conjecture in this case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-16T22:02:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multipartite states",
      "classification",
      "non-locality",
      "study n-qubit pure states",
      "conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.5213A"
    }
  }
}