{
  "annotation_id": "33edf5ed-6e06-4367-b1cf-1d60b9de0a6f",
  "date_created": "2026-03-02T18:02:34.311000Z",
  "date_modified": "2026-03-02T18:02:34.311000Z",
  "file_hash": "28d1e279336f21c1feac71332e5e0fb474e5aacf1bcb562672a4fc0836e25877",
  "private": false,
  "record": {
    "abstract": "We propose a new entanglement measure to quantify three qubits entanglement\nin terms of negativity. A monogamy inequality analogous to\nCoffman-Kundu-Wootters (CKW) inequality is established. This consequently leads\nto a definition of residual entanglement, which is referred to as three-$\\pi$\nin order to distinguish from three-tangle. The three-$\\pi$ is proved to be a\nnatural entanglement measure. By contrast to the three-tangle, it is shown that\nthe three-$\\pi$ always gives greater than zero values for $W$ and GHZ classes,\nimplying there always exists three-way entanglement for them, and three-tangle\ngenerally underestimates three-way entanglement of a given system. This\ninvestigation will offer an alternative tool to understand genuine multipartite\nentanglement.",
    "arxiv_id": "quant-ph/0702127",
    "authors": [
      "Yong-Cheng Ou",
      "Heng Fan"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.75.062308",
    "journal_ref": "Physical Review A 75, 062308 (2007)",
    "title": "Monogamy Inequality in terms of Negativity for Three-Qubit States",
    "url": "https://arxiv.org/abs/quant-ph/0702127"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "abb220fa-9ea2-4c15-90f7-41de8c7209ca",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}