{
  "annotation_id": "9baa047a-0e75-4e09-8b34-166e7f1e9745",
  "date_created": "2026-03-02T18:02:00.157000Z",
  "date_modified": "2026-03-02T18:02:00.157000Z",
  "file_hash": "4e1b486c623812709b508c594a3c09ec7555030672a969df91c3f7daaa32eade",
  "private": false,
  "record": {
    "abstract": "It is common to model random errors in a classical measurement by the normal\n(Gaussian) distribution, because of the central limit theorem. In the quantum\ntheory, the analogous hypothesis is that the matrix elements of the error in an\nobservable are distributed normally. We obtain the probability distribution\nthis implies for the outcome of a measurement, exactly for the case of 2x2\nmatrices and in the steepest descent approximation in general. Due to the\nphenomenon of `level repulsion\u0027, the probability distributions obtained are\nquite different from the Gaussian.",
    "arxiv_id": "quant-ph/0306037",
    "authors": [
      "S. G. Rajeev"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S0217732303012672",
    "title": "A Theory of Errors in Quantum Measurement",
    "url": "https://arxiv.org/abs/quant-ph/0306037"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0132aa47-5765-49aa-a150-420ec68e5c55",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}