{
  "annotation_id": "ff7d9126-0a45-45c4-873e-d3068c3b131c",
  "date_created": "2026-03-02T18:02:31.249000Z",
  "date_modified": "2026-03-02T18:02:31.249000Z",
  "file_hash": "442769d03be9c0f0e43b0a83a4b6f8968ea93e8c3fe1fdfef19ed8fe51793c8f",
  "private": false,
  "record": {
    "abstract": "We explore algebraic and topological structures underlying the quantum\nteleportation phenomena by applying the braid group and Temperley--Lieb\nalgebra. We realize the braid teleportation configuration, teleportation\nswapping and virtual braid representation in the standard description of the\nteleportation. We devise diagrammatic rules for quantum circuits involving\nmaximally entangled states and apply them to three sorts of descriptions of the\nteleportation: the transfer operator, quantum measurements and characteristic\nequations, and further propose the Temperley--Lieb algebra under local unitary\ntransformations to be a mathematical structure underlying the teleportation. We\ncompare our diagrammatical approach with two known recipes to the quantum\ninformation flow: the teleportation topology and strongly compact closed\ncategory, in order to explain our diagrammatic rules to be a natural\ndiagrammatic language for the teleportation.",
    "arxiv_id": "quant-ph/0610148",
    "authors": [
      "Yong Zhang"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/39/37/017",
    "journal_ref": "J.Phys.A39:11599-11622,2006",
    "title": "Teleportation, Braid Group and Temperley--Lieb Algebra",
    "url": "https://arxiv.org/abs/quant-ph/0610148"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4355a559-15cd-409d-a6c3-0cb49e12ebb3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}