{
  "annotation_id": "c90b87af-3e3f-4e98-8f7f-2a5d30705b83",
  "date_created": "2026-03-02T18:01:56.467000Z",
  "date_modified": "2026-03-02T18:01:56.467000Z",
  "file_hash": "d2a4eb6f1911d49296d0c1cacd09903e48e1812b28ad2bc85bf318a1b4eb59ba",
  "private": false,
  "record": {
    "abstract": "We propose an operational measure of distance of two quantum states, which\nconversely tells us their closeness. This is defined as a sum of differences in\npartial knowledge over a complete set of mutually complementary measurements\nfor the two states. It is shown that the measure is operationally invariant and\nit is equivalent to the Hilbert-Schmidt distance. The operational measure of\ndistance provides a remarkable interpretation of the information distance\nbetween quantum states.",
    "arxiv_id": "quant-ph/0303111",
    "authors": [
      "Jinhyoung Lee",
      "M. S. Kim",
      "Caslav Brukner"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.91.087902",
    "journal_ref": "Phys. Rev. Lett. 91, 087902 (2003)",
    "title": "Operationally Invariant Measure of the Distance between Quantum States   by Complementary Measurements",
    "url": "https://arxiv.org/abs/quant-ph/0303111"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f702b107-4c96-4cf9-b51e-8b27d4f22aa4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}