{
  "annotation_id": "e0b122d8-a865-4ba3-9cdd-2edd20d7d664",
  "date_created": "2026-03-02T18:02:13.077000Z",
  "date_modified": "2026-03-02T18:02:13.077000Z",
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  "record": {
    "abstract": "The mean king\u0027s problem with maximal mutually unbiased bases (MUB\u0027s) in\ngeneral dimension d is investigated. It is shown that a solution of the problem\nexists if and only if the maximal number (d+1) of orthogonal Latin squares\nexists. This implies that there is no solution in d=6 or d=10 dimensions even\nif the maximal number of MUB\u0027s exists in these dimensions.",
    "arxiv_id": "quant-ph/0502092",
    "authors": [
      "A. Hayashi",
      "M. Horibe",
      "T. Hashimoto"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.71.052331",
    "journal_ref": "Phys. Rev. A71, 052331 (2005)",
    "title": "Mean king\u0027s problem with mutually unbiased bases and orthogonal Latin   squares",
    "url": "https://arxiv.org/abs/quant-ph/0502092"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "da42a4a7-eac7-429b-a313-f8aa87220598",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}