{
  "annotation_id": "e5801847-6eb7-48ed-a7ca-d811c3df2924",
  "date_created": "2026-03-02T18:02:41.234000Z",
  "date_modified": "2026-03-02T18:02:41.234000Z",
  "file_hash": "0aa9fdedd801f8dfb95e5d159dbd8c1caf0dc1e24cf3fe0e8449cac116c3cdf5",
  "private": false,
  "record": {
    "abstract": "Hubner\u0027s formula for the Bures (statistical distance) metric is applied to\nboth a one-parameter and a two-parameter series (n=2,...,7) of sets of 2^n x\n2^n density matrices. In the doubly-parameterized series, the sets are\ncomprised of the n-fold tensor products --- corresponding to n independent,\nidentical quantum systems --- of the 2 x 2 density matrices with real entries.\nThe Gaussian curvatures of the corresponding Bures metrics are found to be\nconstants (4/n). In the second series of 2^n x 2^n density matrices studied,\nthe singly-parameterized sets are formed --- following a study of Krattenthaler\nand Slater --- by averaging with respect to a certain Gibbs distribution, the\nn-fold tensor products of the 2 x 2 density matrices with complex entries. For\nn = 100, we are also able to compute the Bures distance between two arbitrary\n(not necessarily neighboring) density matrices in this particular series,\nmaking use of the eigenvalue formulas of Krattenthaler and Slater, together\nwith the knowledge that the 2^n x 2^n density matrices in this series commute.",
    "arxiv_id": "quant-ph/9710055",
    "authors": [
      "Paul B. Slater"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(98)00319-3",
    "journal_ref": "Phys.Lett. A244 (1998) 35-42",
    "title": "Bures Metrics for Certain High-Dimensional Quantum Systems",
    "url": "https://arxiv.org/abs/quant-ph/9710055"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "db00f133-4464-4569-a5e9-bdb078add8af",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}