{
  "annotation_id": "f588a99b-4873-40a4-99c6-bf8f278db0ce",
  "date_created": "2026-03-02T18:02:30.339000Z",
  "date_modified": "2026-03-02T18:02:30.339000Z",
  "file_hash": "71856b79c1be0a4e2077f3bab7d6ce4225117ff2e26d78275c29d8181f9b025d",
  "private": false,
  "record": {
    "abstract": "A classification of N-partite states, based on K-way negativities (K=2 to N),\nis proposed. The K-way partial transpose with respect to a subsystem is defined\nso as to shift the focus to K-way coherences instead of K subsystems of the\ncomposite system. For an N-partite system, the fraction of K-way negativity\ncontributing to global negativity, is obtained. After minimizing K-way\nnegativities through local unitary qubit rotations, a combined analysis of\n2-way, 3-way and global negativities is shown to provide distinct measures of\ngenuine tripartite, W-state like and bipartite entanglement, for three qubit\ncomposite system. To illustrate the point, entanglement of three qubit GHZ\nclass states, W-class states, three boson state and noisy states is analysed.\nWhile genuine N-partite entanglement of a composite system is generated by\nN-way coherences, N-partite entanglement in general can be present due to\n(K\u003cN)-way coherences as well.",
    "arxiv_id": "quant-ph/0608062",
    "authors": [
      "S. Shelly Sharma",
      "N. K. Sharma"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "The K-way negativities as entanglement measures",
    "url": "https://arxiv.org/abs/quant-ph/0608062"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5f383030-7926-452d-a20d-515f3f3a7dc2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}