{
  "annotation_id": "ad265959-73b2-426a-9e13-4b34e1a7e91f",
  "date_created": "2026-03-02T18:02:44.474000Z",
  "date_modified": "2026-03-02T18:02:44.474000Z",
  "file_hash": "308b300fc2de6d900bb8811ce7cff2b2ee7b3578997e8dadb4adc0d892de23a5",
  "private": false,
  "record": {
    "abstract": "We show that pure states of multipartite quantum systems are multiseparable\n(i.e. give separable density matrices on tracing any party) if and only if they\nhave a generalized Schmidt decomposition. Implications of this result for the\nquantification of multipartite pure-state entanglement are discussed. Further,\nas an application of the techniques used here, we show that any purification of\na bipartite PPT bound entangled state is tri-inseparable, i.e. has none of its\nthree bipartite partial traces separable.",
    "arxiv_id": "quant-ph/9811091",
    "authors": [
      "Ashish V. Thapliyal"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.59.3336",
    "journal_ref": "Phys.Rev. A59 (1999) 3336",
    "title": "On Multipartite Pure-State Entanglement",
    "url": "https://arxiv.org/abs/quant-ph/9811091"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6bbb2ee5-3ffe-44d9-892a-f19485572590",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}