{
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  "date_created": "2026-03-02T18:01:53.057000Z",
  "date_modified": "2026-03-02T18:01:53.057000Z",
  "file_hash": "983b78b11ba4a26572d75ca19855f14cd43da437a0a75102ccb0d98876e447dc",
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  "record": {
    "abstract": "Heisenberg\u0027s reciprocal relation between position measurement error and\nmomentum disturbance is rigorously proven under the assumption that those error\nand disturbance are independent of the state of the measured object. A\ngeneralization of Heisenberg\u0027s relation proven valid for arbitrary measurements\nis proposed and reveals two distinct types of possible violations of\nHeisenberg\u0027s relation.",
    "arxiv_id": "quant-ph/0210044",
    "authors": [
      "Masanao Ozawa"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2003.07.025",
    "journal_ref": "Phys. Lett. A 318, 21--29 (2003).",
    "title": "Physical content of Heisenberg\u0027s uncertainty relation: Limitation and   reformulation",
    "url": "https://arxiv.org/abs/quant-ph/0210044"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bac15514-7fe5-4a46-95ad-be5fe9edcaaa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}