{
  "annotation_id": "c5106f51-af41-4b94-8a72-9927eb3f319f",
  "date_created": "2026-03-02T18:02:26.524000Z",
  "date_modified": "2026-03-02T18:02:26.524000Z",
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  "record": {
    "abstract": "In this paper we present the necessary and sufficient conditions of\nseparability for multipartite pure states. These conditions are very simple,\nand they don\u0027t require Schmidt decomposition or tracing out operations. We also\ngive a necessary condition for a local unitary equivalence class for a\nbipartite system in terms of the determinant of the matrix of amplitudes and\nexplore a variance as a measure of entanglement for multipartite pure states.",
    "arxiv_id": "quant-ph/0604147",
    "authors": [
      "D. Li",
      "H. Huang",
      "X. Li"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0253-6102/49/5/29",
    "journal_ref": "Commun. Theor. Phys. 49, 1211-1216 (2008)",
    "title": "The Necessary and Sufficient Conditions of Separability for Multipartite   Pure States",
    "url": "https://arxiv.org/abs/quant-ph/0604147"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e135b482-fa93-4163-9ef0-e3e24efb83fa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}