{
  "annotation_id": "c164bfac-823e-4f03-a0ec-16fe8117e6d6",
  "date_created": "2026-03-02T18:02:06.881000Z",
  "date_modified": "2026-03-02T18:02:06.881000Z",
  "file_hash": "edf2790afe972289233516e1cbacd9fc26114844f7fb29300012967a98e92cef",
  "private": false,
  "record": {
    "abstract": "A complete set of mutually unbiased bases for a Hilbert space of dimension N\nis analogous in some respects to a certain finite geometric structure, namely,\nan affine plane. Another kind of quantum measurement, known as a symmetric\ninformationally complete positive-operator-valued measure, is, remarkably, also\nanalogous to an affine plane, but with the roles of points and lines\ninterchanged. In this paper I present these analogies and ask whether they shed\nany light on the existence or non-existence of such symmetric quantum\nmeasurements for a general quantum system with a finite-dimensional state\nspace.",
    "arxiv_id": "quant-ph/0406032",
    "authors": [
      "William K. Wootters"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum measurements and finite geometry",
    "url": "https://arxiv.org/abs/quant-ph/0406032"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3f359e0f-f94a-40a5-8a2d-32b2b937438e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}