{
  "annotation_id": "70eaebe8-869f-4530-bda5-68fb1e206c53",
  "date_created": "2026-03-02T18:02:12.976000Z",
  "date_modified": "2026-03-02T18:02:12.976000Z",
  "file_hash": "929632e053040a970ec17bd98552b8bb3953c1dab186f9536b29fdc242318298",
  "private": false,
  "record": {
    "abstract": "The purpose of this paper is to obtain a sufficient and necessary condition\nas a criteria to test whether an arbitrary multipartite state is entangled or\nnot. Based on the tensor expression of a multipartite pure state, the paper\nshows that a state is separable iff $| \\mathbf{C}(\\rho)| $ =0 for pure states\nand iff $C(\\rho)$ vanishes for mixed states.",
    "arxiv_id": "quant-ph/0412137",
    "authors": [
      "Chang-shui Yu",
      "He-shan Song"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Separability Criteria For Arbitrary Quantum Systems",
    "url": "https://arxiv.org/abs/quant-ph/0412137"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9cb8c732-39c2-4410-b25c-c30a81887424",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}