{
  "annotation_id": "420f2324-0c58-4662-85b7-7509832fb504",
  "date_created": "2026-03-02T18:02:36.799000Z",
  "date_modified": "2026-03-02T18:02:36.799000Z",
  "file_hash": "dfeb2833b7b692ac4c2b5586c8f11007ab3169860d57de7027cc9cef0e25dc1d",
  "private": false,
  "record": {
    "abstract": "In this paper, we revisit topological-like features in the extended\nTemperley--Lieb diagrammatical representation for quantum circuits including\nthe teleportation, dense coding and entanglement swapping. We perform these\nquantum circuits and derive characteristic equations for them with the help of\ntopological-like operations. Furthermore, we comment on known diagrammatical\napproaches to quantum information phenomena from the perspectives of both\ntensor categories and topological quantum field theories. Moreover, we remark\non the proposal for categorical quantum physics and information to be described\nby dagger ribbon categories.",
    "arxiv_id": "quant-ph/0703196",
    "authors": [
      "Yong Zhang",
      "Louis H. Kauffman"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "journal_ref": "Quant.Inf.Proc.7:3-32,2008",
    "title": "Topological-Like Features in Diagrammatical Quantum Circuits",
    "url": "https://arxiv.org/abs/quant-ph/0703196"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dc9b1db7-45ec-415b-814c-6eea29f71dde",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}