{
  "annotation_id": "ba05f2a0-1599-4d01-ab10-2c37140cc9ac",
  "date_created": "2026-03-02T18:02:31.249000Z",
  "date_modified": "2026-03-02T18:02:31.249000Z",
  "file_hash": "15b084e240a4146ea3978cbc04f1d833afa4f12953f821e36d37673b10c75614",
  "private": false,
  "record": {
    "abstract": "In connection with optimal state determination for two qubits, the question\nwas raised about the maximum number of pairwise complementary reductions. The\nmain result of the paper tells that the maximum number is 4, that is, if A1,\nA2,... Ak are pairwise complementary (or quasi-orthogonal) subalgebras of the\nalgebra of all 4x4$ matrices and they are isomorphic to the algebra of all 2x2\nmatrices, then k is at most 4. In the way to this result, contributions are\nmade to the understanding of the structure of complementary reductions.",
    "arxiv_id": "quant-ph/0608227",
    "authors": [
      "Denes Petz",
      "Jonas Kahn"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1063/1.2424883",
    "journal_ref": "J. Math. Phys. 48, 012107, 2007.",
    "title": "Complementary reductions for two qubits",
    "url": "https://arxiv.org/abs/quant-ph/0608227"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2413fec7-66b3-40c5-b349-ef1ed5e7217f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}