{
  "annotation_id": "f3a00b92-800d-4cad-ad06-e8902976dbf1",
  "date_created": "2026-03-02T18:02:27.340000Z",
  "date_modified": "2026-03-02T18:02:27.340000Z",
  "file_hash": "329009c1070e8225b9ba8c7c0eedce59481261a53431884767b6b5d7bc77d1e8",
  "private": false,
  "record": {
    "abstract": "We introduce a version of the chained Bell inequality for an arbitrary number\nof measurement outcomes, and use it to give a simple proof that the maximally\nentangled state of two d dimensional quantum systems has no local component.\nThat is, if we write its quantum correlations as a mixture of local\ncorrelations and general (not necessarily quantum) correlations, the\ncoefficient of the local correlations must be zero. This suggests an\nexperimental programme to obtain as good an upper bound as possible on the\nfraction of local states, and provides a lower bound on the amount of classical\ncommunication needed to simulate a maximally entangled state in dxd dimensions.\nWe also prove that the quantum correlations violating the inequality are\nmonogamous among non-signalling correlations, and hence can be used for quantum\nkey distribution secure against post-quantum (but non-signalling)\neavesdroppers.",
    "arxiv_id": "quant-ph/0605182",
    "authors": [
      "Jonathan Barrett",
      "Adrian Kent",
      "Stefano Pironio"
    ],
    "categories": [
      "quant-ph",
      "cs.CR"
    ],
    "doi": "10.1103/PhysRevLett.97.170409",
    "journal_ref": "Phys. Rev. Lett. 97, 170409 (2006).",
    "title": "Maximally Non-Local and Monogamous Quantum Correlations",
    "url": "https://arxiv.org/abs/quant-ph/0605182"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "22a82f1f-b020-4fdb-9f98-cfcc75383a47",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}