{
  "annotation_id": "9ca3ab2f-65b4-458e-b4aa-ffe4c194b4eb",
  "date_created": "2026-03-02T18:02:34.257000Z",
  "date_modified": "2026-03-02T18:02:34.257000Z",
  "file_hash": "16b5a41b2f5caae6b6cfb3388d17eb20ab9e4c5451ed4f844bf597a7e86dbd7f",
  "private": false,
  "record": {
    "abstract": "When an entangled state evolves under local unitaries, the entanglement in\nthe state remains fixed. Here we show the dynamical phase acquired by an\nentangled state in such a scenario can always be understood as the sum of the\ndynamical phases of its subsystems. In contrast, the equivalent statement for\nthe geometric phase is not generally true unless the state is separable. For an\nentangled state an additional term is present, the mutual geometric phase, that\nmeasures the change the additional correlations present in the entangled state\nmake to the geometry of the state space. For $N$ qubit states we find this\nchange can be explained solely by classical correlations for states with a\nSchmidt decomposition and solely by quantum correlations for W states.",
    "arxiv_id": "quant-ph/0702080",
    "authors": [
      "Mark Williamson",
      "Vlatko Vedral"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.76.032115",
    "journal_ref": "Phys. Rev. A 76, 032115 (2007)",
    "title": "Composite Geometric Phase for Multipartite Entangled States",
    "url": "https://arxiv.org/abs/quant-ph/0702080"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b1bbb95f-b0ee-42f2-afa2-8fe1f06bdeb7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}