{
  "annotation_id": "5f0c88f4-050e-43ac-8942-bfa93c01dadd",
  "date_created": "2026-03-02T18:02:23.066000Z",
  "date_modified": "2026-03-02T18:02:23.066000Z",
  "file_hash": "39a69bd6b74852711606e699157aab7d488ddfa85c34e4a6e60f1d5dd44c96b6",
  "private": false,
  "record": {
    "abstract": "The cluster state model for quantum computation [Phys. Rev. Lett. 86, 5188]\noutlines a scheme that allows one to use measurement on a large set of\nentangled quantum systems in what is known as a cluster state to undertake\nquantum computations. The model itself and many works dedicated to it involve\nusing entangled qubits. In this paper we consider the issue of using entangled\nqudits instead. We present a complete framework for cluster state quantum\ncomputation using qudits, which not only contains the features of the original\nqubit model but also contains the new idea of adaptive computation: via a\nchange in the classical computation that helps to correct the errors that are\ninherent in the model, the implemented quantum computation can be changed. This\nfeature arises through the extra degrees of freedom that appear when using\nqudits. Finally, for prime dimensions, we give a very explicit description of\nthe model, making use of mutually unbiased bases.",
    "arxiv_id": "quant-ph/0512130",
    "authors": [
      "William Hall"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Cluster state quantum computation for many-level systems",
    "url": "https://arxiv.org/abs/quant-ph/0512130"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "24d4ed4a-4109-4160-b681-f0ddcd7d3a9a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}