{
  "annotation_id": "415a8960-9b2f-43be-9c02-aec9cde21eeb",
  "date_created": "2026-03-02T18:02:34.553000Z",
  "date_modified": "2026-03-02T18:02:34.553000Z",
  "file_hash": "73d85407968aa25151e00eaa3b91dd82d2986142f531dd3cca1fcb3fb2f7ac7a",
  "private": false,
  "record": {
    "abstract": "We investigate the geometrical structure of multipartite states based on the\nconstruction of toric varieties. We show that the toric variety represents the\nspace of general pure states and projective toric variety defines the space of\nseparable set of multi-qubits states. We also discuss in details the\nconstruction of single-, two-, three-, and multi- qubits states. This\nconstruction gives a very simple and elegant visual representation of the\ngeometrical structure of multipartite quantum systems.",
    "arxiv_id": "quant-ph/0703005",
    "authors": [
      "Hoshang Heydari"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Mathematical Physics Research Developments, Edited by M. B. Levy,\n  Nova publisher, (2009) pp. 589-604",
    "title": "Toric varieties: Simple combinatorial and geometrical structure of   multipartite quantum systems",
    "url": "https://arxiv.org/abs/quant-ph/0703005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bc864830-630d-46bf-8e7e-c117b4165ff0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}