{
  "annotation_id": "093b8ca1-0529-4564-9734-0147ffa9bf43",
  "date_created": "2026-03-02T18:01:42.709000Z",
  "date_modified": "2026-03-02T18:01:42.709000Z",
  "file_hash": "f1f55cf068def097f983478acaf5e629d39f8496809fe976ebeda3d171d38f55",
  "private": false,
  "record": {
    "abstract": "This is a sequel to the papers (quant-ph/9910063) and (quant-ph/0004102). The\naim of this paper is to give mathematical foundations to Holonomic Quantum\nComputation (Computer) proposed by Zanardi and Rasetti (quant-ph/9904011) and\nPachos and Chountasis (quant-ph/9912093). In 2-qubit case we give an explicit\nform to non-abelian Berry connection of quantum computational bundle which is\nassociated with Holonomic Quantum Computation, on some parameter space. We also\nsuggest a possibility that not only usual holonomy but also higher-dimensional\nholonomies must be used to prove a universality of our Holonomic Quantum\nComputation.",
    "arxiv_id": "quant-ph/0101102",
    "authors": [
      "Kazuyuki Fujii"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "title": "Mathematical Foundations of Holonomic Quantum Computer II",
    "url": "https://arxiv.org/abs/quant-ph/0101102"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4c6578c9-4d40-4605-af15-09f4d24af89b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}