{
  "annotation_id": "f2770b0d-5986-4c7e-bb5e-055e59ec6495",
  "date_created": "2026-03-02T18:01:48.340000Z",
  "date_modified": "2026-03-02T18:01:48.340000Z",
  "file_hash": "a36a8e5828b29ed158a5cf6f15573cabccec8e0347ac6a29c5d219eea7388908",
  "private": false,
  "record": {
    "abstract": "The purpose of this paper is to introduce several basic theorems of coherent\nstates and generalized coherent states based on Lie algebras su(2) and su(1,1),\nand to give some applications of them to quantum information theory for\ngraduate students or non--experts who are interested in both Geometry and\nQuantum Information Theory. In the first half we make a general review of\ncoherent states and generalized coherent states based on Lie algebras su(2) and\nsu(1,1) from the geometric point of view and, in particular, prove that each\nresolution of unity can be obtained by the curvature form of some bundle on the\nparameter space. In the latter half we apply a method of generalized coherent\nstates to some important topics in Quantum Information Theory, in particular,\nswap of coherent states and cloning of coherent ones. We construct the swap\noperator of coherent states by making use of a generalized coherent operator\nbased on su(2) and show an \"imperfect cloning\" of coherent states, and moreover\npresent some related problems. In conclusion we state our dream, namely, a\nconstruction of {\\bf Geometric Quantum Information Theory}.",
    "arxiv_id": "quant-ph/0112090",
    "authors": [
      "Kazuyuki Fujii"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "title": "Introduction to Coherent States and Quantum Information Theory",
    "url": "https://arxiv.org/abs/quant-ph/0112090"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8fead7bd-f2b1-49e6-91c9-af60b4ff245b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}