{
  "annotation_id": "c416820e-09af-4a84-8f00-4732c3eb60e6",
  "date_created": "2026-03-02T18:02:31.153000Z",
  "date_modified": "2026-03-02T18:02:31.153000Z",
  "file_hash": "519857627ec669b2d7aa3f4397722a3adfcae3442a000f6f3f7687138c7a7537",
  "private": false,
  "record": {
    "abstract": "In this paper we revisit the isomorphism $SU(2)\\otimes SU(2)\\cong SO(4)$ to\napply to some subjects in Quantum Computation and Mathematical Physics.\n  The unitary matrix $Q$ by Makhlin giving the isomorphism as an adjoint action\nis studied and generalized from a different point of view. Some problems are\nalso presented.\n  In particular, the homogeneous manifold $SU(2n)/SO(2n)$ which characterizes\nentanglements in the case of $n=2$ is studied, and a clear-cut calculation of\nthe universal Yang-Mills action in (hep-th/0602204) is given for the abelian\ncase.",
    "arxiv_id": "quant-ph/0608186",
    "authors": [
      "Kazuyuki Fujii",
      "Hiroshi Oike",
      "Tatsuo Suzuki"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1142/S0219887807002120",
    "journal_ref": "Int.J.Geom.Meth.Mod.Phys.4:471-485,2007",
    "title": "More on the Isomorphism $SU(2)\\otimes SU(2)\\cong SO(4)$",
    "url": "https://arxiv.org/abs/quant-ph/0608186"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7298720a-f24f-4663-9a8a-7afefd36b95b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}