{
  "annotation_id": "b85454b2-da40-482b-8a65-e9eb8a97d582",
  "date_created": "2026-03-02T18:01:39.310000Z",
  "date_modified": "2026-03-02T18:01:39.310000Z",
  "file_hash": "a829e3eb6f22c7ef25c51bfba282231d381ce5381a9a85be93dc31312face4ff",
  "private": false,
  "record": {
    "abstract": "Due to considerable recent interest in the use of density matrices for a wide\nvariety of purposes, including quantum computation, we present a general method\nfor their parameterizations in terms of Euler angles. We assert that this is of\nmore fundamental importance than (as several people have remarked to us) ``just\nanother parameterization of the density matrix.\u0027\u0027 There are several uses to\nwhich this methodology can be put. One that has received particular attention\nis in the construction of certain distinguished (Bures) measures on the $(n^2\n-1)$-dimensional convex sets of $n \\times n$ density matrices.",
    "arxiv_id": "quant-ph/0004055",
    "authors": [
      "Mark S. Byrd",
      "Paul B. Slater"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1016/S0375-9601(01)00221-3",
    "journal_ref": "Phys. Let. A 283, 3-4, (2001) 152-156.",
    "title": "Bures Measures over the Spaces of Two and Three-Dimensional Density   Matrices",
    "url": "https://arxiv.org/abs/quant-ph/0004055"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b6aad26c-2bf2-44e7-8e1b-c90abb3c1c6b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}