{
  "annotation_id": "fe8c78ce-e820-41fd-b8f4-50559bd4108a",
  "date_created": "2026-03-02T18:02:48.422000Z",
  "date_modified": "2026-03-02T18:02:48.422000Z",
  "file_hash": "ef4c73e8ef89cbd4a8b7f2c86fc61e2ce40c70078b94ad934e17276efa161a22",
  "private": false,
  "record": {
    "abstract": "We establish an exact differential equation for the operator describing\ntime-dependent measurements continuous in time and obtain a series solution.\nSuppose the projection operator $E(t) = U(t) E U^\\dagger(t)$ is measured\ncontinuously from t = 0 to T, where E is a projector leaving the initial state\nunchanged and U(t) a unitary operator obeying U(0) = 1 and some smoothness\nconditions in t. We prove that the probability of always finding E(t) = 1 from\nt = 0 to T is unity. If $U(t) \\neq 1$, the watched kettle is sure to `boil\u0027.",
    "arxiv_id": "quant-ph/9909056",
    "authors": [
      "A. P. Balachandran",
      "S. M. Roy"
    ],
    "categories": [
      "quant-ph",
      "gr-qc",
      "hep-th"
    ],
    "doi": "10.1103/PhysRevLett.84.4019",
    "journal_ref": "Phys.Rev.Lett.84:4019-4022,2000",
    "title": "A Quantum Anti-Zeno Paradox",
    "url": "https://arxiv.org/abs/quant-ph/9909056"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3dde27ed-abb8-4621-9326-c1df73559c6c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}