{
  "annotation_id": "dc239ffe-5f54-4970-9f98-336afa71ac61",
  "date_created": "2026-03-02T18:02:13.462000Z",
  "date_modified": "2026-03-02T18:02:13.462000Z",
  "file_hash": "48c3a1fbcbfcb2409df5791a7b38212e672178d49ec703deda3873637afc95da",
  "private": false,
  "record": {
    "abstract": "The group of local unitary transformations partitions the space of n-qubit\nquantum states into orbits, each of which is a differentiable manifold of some\ndimension. We prove that all orbits of the n-qubit quantum state space have\ndimension greater than or equal to 3n/2 for n even and greater than or equal to\n(3n + 1)/2 for n odd. This lower bound on orbit dimension is sharp, since\nn-qubit states composed of products of singlets achieve these lowest orbit\ndimensions.",
    "arxiv_id": "quant-ph/0503052",
    "authors": [
      "David W. Lyons",
      "Scott N. Walck"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1063/1.2048327",
    "journal_ref": "J. Math. Phys. 46(10):102106, 2005",
    "title": "Minimum orbit dimension for local unitary action on n-qubit pure states",
    "url": "https://arxiv.org/abs/quant-ph/0503052"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "093cd3f7-de20-472e-9844-943fb5d46d2d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}