{
  "annotation_id": "460409a2-55ea-408b-9948-8a27479d752c",
  "date_created": "2026-03-02T18:01:58.922000Z",
  "date_modified": "2026-03-02T18:01:58.922000Z",
  "file_hash": "b3a6725c4e8e6d466a4d9844396e15ea29d48b3013b1e0352bfa8aa5081bea32",
  "private": false,
  "record": {
    "abstract": "To reproduce in a local hidden variables theory correlations that violate\nBell inequalities, communication must occur between the parties. We show that\nthe amount of violation of a Bell inequality imposes a lower bound on the\naverage communication needed to produce these correlations. Moreover, for every\nprobability distribution there exists an optimal inequality for which the\ndegree of violation gives the minimal average communication. As an example, to\nproduce using classical resources the correlations that maximally violate the\nCHSH inequality, 0.4142 bits of communication are necessary and sufficient. For\nBell tests performed on two entangled states of dimension d\u003e=3 where each party\nhas the choice between two measurements, our results suggest that more\ncommunication is needed to simulate outcomes obtained from certain\nnon-maximally entangled states than maximally entangled ones.",
    "arxiv_id": "quant-ph/0304176",
    "authors": [
      "Stefano Pironio"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.68.062102",
    "journal_ref": "Phys. Rev. A 68, 062102 (2003)",
    "title": "Violations of Bell inequalities as lower bounds on the communication   cost of non-local correlations",
    "url": "https://arxiv.org/abs/quant-ph/0304176"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3ed538f1-7784-4bdb-8a65-8261af5dab18",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}