{
  "annotation_id": "7c32ed4f-dd09-4de5-88d5-e124ba710b6b",
  "date_created": "2026-03-02T18:02:13.452000Z",
  "date_modified": "2026-03-02T18:02:13.452000Z",
  "file_hash": "dd31ab75d364a021fb11cedd71d342aaf8267fa004ebfa184f063b0d5ff425c4",
  "private": false,
  "record": {
    "abstract": "We investigate the King\u0027s problem of the measurement of operators $\\vec{n}_k\n\\nobreak \\cdot \\nobreak \\vec{\\sigma} (k=1,2,3)$ instead of the three Cartesian\ncomponents $\\sigma_x$, $\\sigma_y$ and $\\sigma_z$ of the spin operator\n$\\vec{\\sigma}$. Here, $\\vec{n}_k$ are three-dimensional real unit vectors. We\nshow the condition over three vectors $\\vec{n}_k$ to ascertain the result for\nmeasurement of any one of these operators.",
    "arxiv_id": "quant-ph/0410206",
    "authors": [
      "Minoru Horibe",
      "Akihisa Hayashi",
      "Takaaki Hashimoto"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.71.032337",
    "journal_ref": "Phys.Rev. A 71(2005)032337",
    "title": "Solution to the King\u0027s problem with observables being not mutually   complementary",
    "url": "https://arxiv.org/abs/quant-ph/0410206"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "84f4dc69-dc50-4196-9d15-04badcfe9b95",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}