{
  "annotation_id": "dbed2c4e-ef06-41ec-8e52-5b07f8c39cad",
  "date_created": "2026-03-02T18:01:44.803000Z",
  "date_modified": "2026-03-02T18:01:44.803000Z",
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  "record": {
    "abstract": "A general mathematical framework is presented to describe local equivalence\nclasses of multipartite quantum states under the action of local unitary and\nlocal filtering operations. This yields multipartite generalizations of the\nsingular value decomposition. The analysis naturally leads to the introduction\nof entanglement measures quantifying the multipartite entanglement (as\ngeneralizations of the concurrence and the 3-tangle), and the optimal local\nfiltering operations maximizing these entanglement monotones are obtained.\nMoreover a natural extension of the definition of GHZ-states to e.g. $2\\times\n2\\times N$ systems is obtained.",
    "arxiv_id": "quant-ph/0105090",
    "authors": [
      "Frank Verstraete",
      "Jeroen Dehaene",
      "Bart De Moor"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.68.012103",
    "journal_ref": "Phys. Rev. A 68, 012103 (2003)",
    "title": "Normal forms and entanglement measures for multipartite quantum states",
    "url": "https://arxiv.org/abs/quant-ph/0105090"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4db668f8-fd3c-4229-a841-bb7d5cbca5be",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}