{
  "annotation_id": "78077368-ecee-4b6e-9bbb-13dc3d8fd728",
  "date_created": "2026-03-02T18:02:27.223000Z",
  "date_modified": "2026-03-02T18:02:27.223000Z",
  "file_hash": "8a76a7e5b44e5ace9b3fe7a5fdfc9c2edc5e84b858c762391985b0b885f8c911",
  "private": false,
  "record": {
    "abstract": "We formalize and extend an operational multipartite entanglement measure\nintroduced by T. R. Oliveira, G. Rigolin, and M. C. de Oliveira, Phys. Rev. A\n73, 010305(R) (2006), through the generalization of global entanglement (GE)\n[D. A. Meyer and N. R. Wallach, J. Math. Phys. 43, 4273 (2002)]. Contrarily to\nGE the main feature of this measure lies in the fact that we study the mean\nlinear entropy of all possible partitions of a multipartite system. This allows\nthe construction of an operational multipartite entanglement measure which is\nable to distinguish among different multipartite entangled states that GE\nfailed to discriminate. Furthermore, it is also maximum at the critical point\nof the Ising chain in a transverse magnetic field, being thus able to detect a\nquantum phase transition.",
    "arxiv_id": "quant-ph/0603215",
    "authors": [
      "Gustavo Rigolin",
      "Thiago R. de Oliveira",
      "Marcos C. de Oliveira"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.74.022314",
    "journal_ref": "Phys. Rev. A 74, 022314 (2006)",
    "title": "Operational Classification and Quantification of Multipartite Entangled   States",
    "url": "https://arxiv.org/abs/quant-ph/0603215"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5fb2d85b-0a08-4305-8932-47eb5382234f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}