{
  "annotation_id": "bb848aa4-acb7-41ca-bd31-99d3fbe9050a",
  "date_created": "2026-03-02T18:02:20.481000Z",
  "date_modified": "2026-03-02T18:02:20.481000Z",
  "file_hash": "a5f70d5a07dc09f398b417293b47797bce7ff6e6f90155444115907da1c5d0cb",
  "private": false,
  "record": {
    "abstract": "By viewing entanglement as a state function, a new kind of phase transition\ntakes place: the geometric phase transition. This phenomenon occurs due to\nsingularities in the shape of the entangled states set. It is shown how this\nresult can be carried to provide a better understanding of the geometry of\nentanglement. Surprisingly, this study can be done experimentally, what allows\nto determine the shape of different entangled states sets, a purely\nmathematical definition, in real experiments.",
    "arxiv_id": "quant-ph/0510068",
    "authors": [
      "Daniel Cavalcanti",
      "Fernando G. S. L. Brandao",
      "Marcelo O. Terra Cunha"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Geometric Phase Transition: direct measurement of a mathematical   abstraction",
    "url": "https://arxiv.org/abs/quant-ph/0510068"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a8ff696e-3f98-4406-aef0-f7c94942f577",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}