{
  "annotation_id": "b8c0331f-41b4-4eaa-ad4b-739a1b111a52",
  "date_created": "2026-03-02T18:02:06.271000Z",
  "date_modified": "2026-03-02T18:02:06.271000Z",
  "file_hash": "0ef74249f804f22639f472690fd5d1c8912eaed57b39137b90235e2f89e078b9",
  "private": false,
  "record": {
    "abstract": "A representation of the SO(3) group is mapped into a maximally entangled two\nqubit state according to literatures. To show the evolution of the entangled\nstate, a model is set up on an maximally entangled electron pair, two electrons\nof which pass independently through a rotating magnetic field. It is found that\nthe evolution path of the entangled state in the SO(3) sphere breaks an odd or\neven number of times, corresponding to the double connectedness of the SO(3)\ngroup. An odd number of breaks leads to an additional $\\pi$ phase to the\nentangled state, but an even number of breaks does not. A scheme to trace the\nevolution of the entangled state is proposed by means of entangled photon pairs\nand Kerr medium, allowing observation of the additional $\\pi$ phase.",
    "arxiv_id": "quant-ph/0403099",
    "authors": [
      "W. LiMing",
      "Z. L. Tang",
      "C. J. Liao"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.69.064301",
    "title": "Representation of SO(3) Group by a Maximally Entangled State",
    "url": "https://arxiv.org/abs/quant-ph/0403099"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "772f059d-b183-4fb5-be97-1ef869a2ccdc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}