{
  "annotation_id": "a9254b13-3845-46c5-aac5-b15d7342198e",
  "date_created": "2026-03-02T18:01:38.505000Z",
  "date_modified": "2026-03-02T18:01:38.505000Z",
  "file_hash": "de34ccca83a54f7f5fb006475ac87af1c978d7c99be2fb293c57f509677c200a",
  "private": false,
  "record": {
    "abstract": "A scheme for construction of uncertainty relations (UR) for n observables and\nm states is presented. Several lowest order UR are displayed and briefly\ndiscussed. For two states |\\psi\u003e and |\\phi\u003e and canonical observables the\n(entangled) extension of Heisenberg UR reads [\\Delta p(\\psi)]^2[\\Delta\nq(\\phi)]^2 + [\\Delta p(\\phi)]^2[\\Delta q(\\psi)]^2 \\geq 1/2. Some possible\napplications of the new inequalities are noted.",
    "arxiv_id": "quant-ph/0005086",
    "authors": [
      "D. A. Trifonov"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/33/32/102",
    "journal_ref": "J. Phys. A33 (2000) L299-L304 (slightly reduced version)",
    "title": "State Extended Uncertainty Relations",
    "url": "https://arxiv.org/abs/quant-ph/0005086"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0f44e21b-2a9f-4d27-b466-9c1b6cd10972",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}