{
  "annotation_id": "421f95fd-f2f6-42e0-9454-29766c4699f2",
  "date_created": "2026-03-02T18:01:59.981000Z",
  "date_modified": "2026-03-02T18:01:59.981000Z",
  "file_hash": "1c7fa4c0904a4f0deae288b6fef284e74ffb96f6c20c2f34c12e2d8a63e2a9d1",
  "private": false,
  "record": {
    "abstract": "In a number of previous studies, we have investigated the use of the volume\nelement of the Bures (minimal monotone) metric -- identically, one-fourth of\nthe statistical distinguishability (SD) metric -- as a natural measure over the\n(n^2-1)-dimensional convex set of n x n density matrices. This has led us for\nthe cases n = 4 and 6 to estimates of the prior (Bures/SD) probabilities that\nqubit-qubit and qubit-qutrit pairs are separable. Here, we extend this work\nfrom such bipartite systems to the tripartite \"laboratory\u0027\u0027 quantum systems\npossessing U x U x U symmetry recently constructed by Eggeling and Werner\n(Phys. Rev. A 63 [2001], 042324). We derive the associated SD metric tensors\nfor the three-qubit and three-qutrit cases, and then obtain estimates of the\nvarious related Bures/SD probabilities using Monte Carlo methods.",
    "arxiv_id": "quant-ph/0306053",
    "authors": [
      "Paul B. Slater"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Bures/statistical distinguishability probabilities of triseparable and   biseparable Eggeling-Werner States",
    "url": "https://arxiv.org/abs/quant-ph/0306053"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "65c5718e-1cad-4742-9a0f-0ac34c4c62c5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}