{
  "annotation_id": "19b06ae6-f7c2-4a08-94f4-5ad676944008",
  "date_created": "2026-03-02T18:01:45.462000Z",
  "date_modified": "2026-03-02T18:01:45.462000Z",
  "file_hash": "5bc07bac4db0eadb8092eaf1daadad0a3ffecb7bcff78b1284cce558256a3c82",
  "private": false,
  "record": {
    "abstract": "Local orbits of a pure state of an N x N bi-partite quantum system are\nanalyzed. We compute their dimensions which depends on the degeneracy of the\nvector of coefficients arising by the Schmidt decomposition. In particular, the\ngeneric orbit has 2N^2 -N-1 dimensions, the set of separable states is 4(N-1)\ndimensional, while the manifold of maximally entangled states has N^2-1\ndimensions.",
    "arxiv_id": "quant-ph/0110082",
    "authors": [
      "Magdalena M. Sinolecka",
      "Karol Zyczkowski",
      "Marek Kus"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Act. Phys. Pol. B 33,2081 (2002)",
    "title": "Manifolds of interconvertible pure states",
    "url": "https://arxiv.org/abs/quant-ph/0110082"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c7324ad6-07c9-4971-99bd-8c2a383de048",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}