{
  "annotation_id": "fc998782-1a89-4f90-826a-cedc5635af2e",
  "date_created": "2026-03-02T18:01:39.324000Z",
  "date_modified": "2026-03-02T18:01:39.324000Z",
  "file_hash": "54571e8fa1f79d2451d7d42f6b048850e0317b2d57efc63cd002aaacaa0c81a8",
  "private": false,
  "record": {
    "abstract": "We present a necessary and sufficient condition for the separability of\nmultipartite quantum states, this criterion also tells us how to write a\nmultipartite separable state as a convex sum of separable pure states. To work\nout this criterion, we need to solve a set of equations, actually it is easy to\nsolve these quations analytically if the density matrix of the given quantum\nstate has few nonzero eigenvalues.",
    "arxiv_id": "quant-ph/0006058",
    "authors": [
      "Shengjun Wu",
      "Xuemei Chen",
      "Yongde Zhang"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(00)00595-8",
    "journal_ref": "Phys. Lett. A 275(4), 244-249 (2000)",
    "title": "A necessary and sufficient criterion for multipartite separable states",
    "url": "https://arxiv.org/abs/quant-ph/0006058"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "279ec038-371c-4f07-98ce-158e7693b322",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}