{
  "annotation_id": "020cd97e-a168-4fa0-a973-86a524ac261b",
  "date_created": "2026-03-02T18:02:00.152000Z",
  "date_modified": "2026-03-02T18:02:00.152000Z",
  "file_hash": "ca99dd75f7c0f484c42dc26e28cfae5cd6eb81fe3ef54ed463257dfb99b141ce",
  "private": false,
  "record": {
    "abstract": "The degree to which a pure quantum state is entangled can be characterized by\nthe distance or angle to the nearest unentangled state. This geometric measure\nof entanglement, already present in a number of settings (see Shimony 1995 and\nBarnum and Linden 2001), is explored for bipartite and multipartite pure and\nmixed states. The measure is determined analytically for arbitrary two-qubit\nmixed states and for generalized Werner and isotropic states, and is also\napplied to certain multipartite mixed states. In particular, a detailed\nanalysis is given for arbitrary mixtures of three-qubit GHZ, W and inverted-W\nstates. Along the way, we point out connections of the geometric measure of\nentanglement with entanglement witnesses and with the Hartree approximation\nmethod.",
    "arxiv_id": "quant-ph/0307219",
    "authors": [
      "Tzu-Chieh Wei",
      "Paul M. Goldbart"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.68.042307",
    "journal_ref": "Phys. Rev. A 68, 042307 (2003)",
    "title": "Geometric measure of entanglement and applications to bipartite and   multipartite quantum states",
    "url": "https://arxiv.org/abs/quant-ph/0307219"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "40c7bc50-1e49-48f2-bdb5-178b29965499",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}