{
  "annotation_id": "501f5237-41ba-48ca-873d-adeea143704b",
  "date_created": "2026-03-02T18:02:34.653000Z",
  "date_modified": "2026-03-02T18:02:34.653000Z",
  "file_hash": "4782ce072b9e439db290bf3b81ce5f1432da48a929ebc8d67b57edfe8b52c9cc",
  "private": false,
  "record": {
    "abstract": "We apply the general formalism of nilpotent polynomials [Mandilara et al,\nPhys. Rev. A 74, 022331 (2006)] to the problem of pure-state multipartite\nentanglement classification in four qubits. In addition to establishing contact\nwith existing results, we explicitly show how the nilpotent formalism naturally\nsuggests constructions of entanglement measures invariant under the required\nunitary or invertible class of local operations. A candidate measure of\nfourpartite entanglement is also suggested, and its behavior numerically tested\non random pure states.",
    "arxiv_id": "quant-ph/0612048",
    "authors": [
      "A. Mandilara",
      "L. Viola"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0953-4075/40/9/S10",
    "title": "Nilpotent polynomials approach to four-qubit entanglement",
    "url": "https://arxiv.org/abs/quant-ph/0612048"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c99f135c-01bd-4a41-bbde-57dbc5c1a683",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}