{
  "annotation_id": "39ac8201-7ef8-4e77-b7d2-d1e2cd509e5c",
  "date_created": "2026-03-02T18:01:42.194000Z",
  "date_modified": "2026-03-02T18:01:42.194000Z",
  "file_hash": "99eeafe43ff576ffb77ab19ae942bd3365e8eab0683c7c0a3dc0454f4c077378",
  "private": false,
  "record": {
    "abstract": "We study separability properties in a 5-dimensional set of states of quantum\nsystems composed of three subsystems of equal but arbitrary finite Hilbert\nspace dimension d. These are the states, which can be written as linear\ncombinations of permutation operators, or, equivalently, commute with unitaries\nof the form UxUxU. We compute explicitly the following subsets and their\nextreme points: (1) triseparable states, which are convex combinations of\ntriple tensor products, (2) biseparable states, which are separable for a\ntwofold partition of the system, and (3) states with positive partial transpose\nwith respect to such a partition. Tripartite entanglement is investigated in\nterms of the relative entropy of tripartite entanglement and of the trace norm.",
    "arxiv_id": "quant-ph/0010096",
    "authors": [
      "T. Eggeling",
      "R. F. Werner"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.63.042111",
    "title": "Separability properties of tripartite states with UxUxU-symmetry",
    "url": "https://arxiv.org/abs/quant-ph/0010096"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2ef790d5-9b77-425e-bfba-3d85f27f833e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}