{
  "annotation_id": "f8eae655-7067-496c-8d75-ca8ff226138a",
  "date_created": "2026-03-02T18:02:20.739000Z",
  "date_modified": "2026-03-02T18:02:20.739000Z",
  "file_hash": "bc9d00ee123a719cd835a7d2df908900b424b17b5f76dda614f1ccb35ab43f97",
  "private": false,
  "record": {
    "abstract": "Joint quantum measurements of non-commuting observables are possible, if one\naccepts an increase in the measured variances. A necessary condition for a\njoint measurement to be possible is that a joint probability distribution\nexists for the measurement. This fact suggests that there may be a link with\nBell inequalities, as these will be satisfied if and only if a joint\nprobability distribution for all involved observables exists. We investigate\nthe connections between Bell inequalities and conditions for joint quantum\nmeasurements to be possible. Mermin\u0027s inequality for the three-particle\nGreenberger-Horne-Zeilinger state turns out to be equivalent to the condition\nfor a joint measurement on two out of the three quantum systems to exist.\nGisin\u0027s Bell inequality for three co-planar measurement directions, meanwhile,\nis shown to be less strict than the condition for the corresponding joint\nmeasurement.",
    "arxiv_id": "quant-ph/0509133",
    "authors": [
      "Wonmin Son",
      "Erika Andersson",
      "Stephem M. Barnett",
      "M. S. Kim"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.052116",
    "journal_ref": "Phys. Rev. A 72, 052116 (2005)",
    "title": "Joint measurements and Bell inequalities",
    "url": "https://arxiv.org/abs/quant-ph/0509133"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fc50b258-5d9b-4b53-b0a2-964c91fcd350",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}