{
  "annotation_id": "a29e1317-bd1d-47a9-a181-2d8715d5bce1",
  "date_created": "2026-03-02T18:02:09.410000Z",
  "date_modified": "2026-03-02T18:02:09.410000Z",
  "file_hash": "c5106c801cf1e9d71bc44bfd274b07dd10f2df1f5800bc4c54c124912bf25ff9",
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  "record": {
    "abstract": "The basic methods of constructing the sets of mutually unbiased bases in the\nHilbert space of an arbitrary finite dimension are discussed and an emerging\nlink between them is outlined. It is shown that these methods employ a wide\nrange of important mathematical concepts like, e.g., Fourier transforms, Galois\nfields and rings, finite and related projective geometries, and entanglement,\nto mention a few. Some applications of the theory to quantum information tasks\nare also mentioned.",
    "arxiv_id": "quant-ph/0409081",
    "authors": [
      "Michel R. P. Planat",
      "Haret Rosu",
      "Serge Perrine",
      "Metod Saniga"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1007/s10701-006-9079-3",
    "journal_ref": "Foundations of Physics 36 (2006) 1662-1680",
    "title": "A Survey of Finite Algebraic Geometrical Structures Underlying Mutually   Unbiased Quantum Measurements",
    "url": "https://arxiv.org/abs/quant-ph/0409081"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ffadddde-5457-4bf5-bb79-7108ebb3642a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}