{
  "annotation_id": "859a933c-ee1e-4b54-b25a-c3b5fd60fb58",
  "date_created": "2026-03-02T18:02:16.604000Z",
  "date_modified": "2026-03-02T18:02:16.604000Z",
  "file_hash": "dc65cd2a32502be25b3a6db65090671da7ab7e22ff90e57e57d7b26bbf5f5ec5",
  "private": false,
  "record": {
    "abstract": "A transform between functions in R and functions in Zd is used to define the\nanalogue of number and coherent states in the context of finite d-dimensional\nquantum systems. The coherent states are used to define an analytic\nrepresentation in terms of theta functions. All states are represented by\nentire functions with growth of order 2, which have exactly d zeros in each\ncell. The analytic function of a state is constructed from its zeros. Results\nabout the completeness of finite sets of coherent states within a cell are\nderived.",
    "arxiv_id": "quant-ph/0504014",
    "authors": [
      "S. Zhang",
      "A. Vourdas"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/37/34/011",
    "journal_ref": "J. Phys. A: Math. Gen. 37 (2004) 8349-8363",
    "title": "Analytic Representation of Finite Quantum Systems",
    "url": "https://arxiv.org/abs/quant-ph/0504014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "851b3d78-c510-4e3b-9488-e5615030813f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}