{
  "annotation_id": "0e44ea17-1f81-4c08-8a37-46a6927457ac",
  "date_created": "2026-03-02T18:02:13.072000Z",
  "date_modified": "2026-03-02T18:02:13.072000Z",
  "file_hash": "4245fbdc10692a7b03d8359889da909016efc379fad3023cdf347952c64edef1",
  "private": false,
  "record": {
    "abstract": "The Mean King\u0027s problem asks to determine the outcome of a measurement that\nis randomly selected from a set of complementary observables. We review this\nproblem and offer a combinatorial solution. More generally, we show that\nwhenever an affine resolvable design exists, then a state reconstruction\nproblem similar to the Mean King\u0027s problem can be defined and solved. As an\napplication of this general framework we consider a problem involving three\nqubits in which the outcome of nine different measurements can be determined\nwithout using ancillary qubits. The solution is based on a measurement derived\nfrom Hadamard designs.",
    "arxiv_id": "quant-ph/0502138",
    "authors": [
      "Andreas Klappenecker",
      "Martin Roetteler"
    ],
    "categories": [
      "quant-ph",
      "cs.ET"
    ],
    "title": "New Tales of the Mean King",
    "url": "https://arxiv.org/abs/quant-ph/0502138"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "61a4d071-edca-42e9-a518-338a4bfc6852",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}