{
  "annotation_id": "42958d78-755b-423d-8627-c7672a2f8471",
  "date_created": "2026-03-02T18:02:23.947000Z",
  "date_modified": "2026-03-02T18:02:23.947000Z",
  "file_hash": "92ef3880827bfd3c72f7338de511357bdf239741450d84327639874f6b615d22",
  "private": false,
  "record": {
    "abstract": "The d-level or qudit one-way quantum computer (d1WQC) is described using the\nvalence bond solid formalism and the generalised Pauli group. This formalism\nprovides a transparent means of deriving measurement patterns for the\nimplementation of quantum gates in the computational model. We introduce a new\nuniversal set of qudit gates and use it to give a constructive proof of the\nuniversality of d1WQC. We characterise the set of gates that can be performed\nin one parallel time step in this model.",
    "arxiv_id": "quant-ph/0512155",
    "authors": [
      "Sean Clark"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/11/010",
    "journal_ref": "J. Phys. A: Math. Gen. 39 (2006) 2701-2721",
    "title": "Valence bond solid formalism for d-level one-way quantum computation",
    "url": "https://arxiv.org/abs/quant-ph/0512155"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "20b392dc-b88e-4a5a-8bfe-904f3f313d2c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}