{
  "annotation_id": "1d32df31-874f-46e8-ac26-6ff175f34824",
  "date_created": "2026-03-02T18:02:02.806000Z",
  "date_modified": "2026-03-02T18:02:02.806000Z",
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  "private": false,
  "record": {
    "abstract": "Universally valid uncertainty relations are proven in a model independent\nformulation for inherent and unavoidable extra noises in arbitrary joint\nmeasurements on single systems, from which Heisenber\u0027s original uncertainty\nrelation is proven valid for any joint measurements with statistically\nindependent noises.",
    "arxiv_id": "quant-ph/0310070",
    "authors": [
      "Masanao Ozawa"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2003.12.001",
    "journal_ref": "Phys. Lett. A 320, 367-374 (2004).",
    "title": "Uncertainty Relations for Joint Measurements of Noncommuting Observables",
    "url": "https://arxiv.org/abs/quant-ph/0310070"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d73852d2-31b4-4b40-81f8-2edbda4ceab9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}