{
  "annotation_id": "05d7ce58-73e0-428b-9aab-eb5d043dff9b",
  "date_created": "2026-03-02T18:01:52.626000Z",
  "date_modified": "2026-03-02T18:01:52.626000Z",
  "file_hash": "81edbec31ce96a96752f705c937a68de4a0bda730f05cd7a660ae8b0347f0d8a",
  "private": false,
  "record": {
    "abstract": "We use techniques for lower bounds on communication to derive necessary\nconditions (in terms of detector efficiency or amount of super-luminal\ncommunication) for being able to reproduce the quantum correlations occurring\nin EPR-type experiments with classical local hidden-variable theories. As an\napplication, we consider n parties sharing a GHZ-type state and show that the\namount of super-luminal classical communication required to reproduce the\ncorrelations is at least n(log n - 3) bits and the maximum detector efficiency\neta* for which the resulting correlations can still be reproduced by a local\nhidden-variable theory is upper bounded by eta* \u003c= 8/n and thus decreases with\nn.",
    "arxiv_id": "quant-ph/0209052",
    "authors": [
      "Harry Buhrman",
      "Peter Hoyer",
      "Serge Massar",
      "Hein Roehrig"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.91.047903",
    "journal_ref": "Phys. Rev. Lett. 91, 047903 (2003)",
    "title": "Combinatorics and Quantum Nonlocality",
    "url": "https://arxiv.org/abs/quant-ph/0209052"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e6593ddc-f66b-4194-93d2-33e939454e68",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}