{
  "annotation_id": "7e3c7eca-c580-4a16-879a-247d1de56fc9",
  "date_created": "2026-03-02T18:02:20.478000Z",
  "date_modified": "2026-03-02T18:02:20.478000Z",
  "file_hash": "855f00d36ac5876ab8354652c115b1d65adb9d5e796cafe12b0ca302bd7fa15e",
  "private": false,
  "record": {
    "abstract": "A method of quantum tomography of arbitrary spin particle states is developed\non the basis of the root approach. It is shown that the set of mutually\ncomplementary distributions of angular momentum projections can be naturally\ndescribed by a set of basis functions based on the Kravchuk polynomials. The\nset of Kravchuk basis functions leads to a multi-parametric statistical\ndistribution that generalizes the binomial distribution. In order to analyze a\nstatistical inverse problem of quantum mechanics, we investigated the\nlikelihood equation and the statistical properties of the obtained estimates.\nThe conclusions of the analytical researches are approved by the results of\nnumerical calculations.",
    "arxiv_id": "quant-ph/0509213",
    "authors": [
      "Yu. I. Bogdanov"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Statistical Reconstruction of arbitrary spin states of particles: root   approach",
    "url": "https://arxiv.org/abs/quant-ph/0509213"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "db76fd73-d142-4253-bcff-6e9b80858dc8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}