{
  "annotation_id": "235fb687-23dd-4a8f-8f34-8d6f25744945",
  "date_created": "2026-03-02T18:02:03.426000Z",
  "date_modified": "2026-03-02T18:02:03.426000Z",
  "file_hash": "6a960d932553abcd822ed71f9a0da51da19d314f74e292f46afd350dcaaa4655",
  "private": false,
  "record": {
    "abstract": "We discuss a procedure of measurement followed by the reproduction of the\nquantum state of a three-level optical system - a frequency- and spatially\ndegenerate two-photon field. The method of statistical estimation of the\nquantum state based on solving the likelihood equation and analyzing the\nstatistical properties of the obtained estimates is developed. Using the root\napproach of estimating quantum states, the initial two-photon state vector is\nreproduced from the measured fourth moments in the field . The developed\napproach applied to quantum states reconstruction is based on the amplitudes of\nmutually complementary processes. Classical algorithm of statistical estimation\nbased on the Fisher information matrix is generalized to the case of quantum\nsystems obeying Bohr\u0027s complementarity principle. It has been experimentally\nproved that biphoton-qutrit states can be reconstructed with the fidelity of\n0.995-0.999 and higher.",
    "arxiv_id": "quant-ph/0312054",
    "authors": [
      "Yu. I. Bogdanov",
      "M. V. Chekhova",
      "L. A. Krivitsky",
      "S. P. Kulik",
      "L. C. Kwek",
      "C. H. Oh",
      "A. N. Penin",
      "M. K. Tey",
      "A. A. Zhukov"
    ],
    "categories": [
      "quant-ph",
      "physics.optics"
    ],
    "doi": "10.1103/PhysRevA.70.042303",
    "journal_ref": "Physical Review A 70, 042303 (2004)",
    "title": "Statistical Reconstruction of Qutrits",
    "url": "https://arxiv.org/abs/quant-ph/0312054"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a6e22541-8564-44b2-a1e0-1d28eb1c39c4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}