{
  "annotation_id": "b517117c-e3f1-46c6-b22d-1b71cb2096e0",
  "date_created": "2026-03-02T18:01:38.962000Z",
  "date_modified": "2026-03-02T18:01:38.962000Z",
  "file_hash": "687c852cda2aa8e98c641b3ccfedfa15fbfb4bf70fb46ae663bdcd16d1ad2c8d",
  "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. 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: (1)\ntriseparable states, which are convex combinations of triple tensor products,\n(2) biseparable states, which are separable for a twofold partition of the\nsystem, and (3) states with positive partial transpose with respect to such a\npartition.",
    "arxiv_id": "quant-ph/0003008",
    "authors": [
      "T. Eggeling",
      "R. F. Werner"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Separability properties of tripartite states with UxUxU-symmetry",
    "url": "https://arxiv.org/abs/quant-ph/0003008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "21a1ffe9-4f00-404d-bc9f-4c049a01bb6f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}