{
  "annotation_id": "caabfb78-7dcf-4405-9f40-d11a23fa7e8f",
  "date_created": "2026-03-02T18:02:27.288000Z",
  "date_modified": "2026-03-02T18:02:27.288000Z",
  "file_hash": "328f99244f549e619e2beb6ca70ba0c97ff6130fc9781968b14e87032f2f35e1",
  "private": false,
  "record": {
    "abstract": "In quantum computation and information science, the geometrical\nrepresentations based on the Bloch sphere representation for transformations of\ntwo state systems have been traditionally used. While this representation is\nvery useful for the two state qubit, it cannot be generalized easily to\nmultiple states like that of qudits and when it is generalized, it looses its\nsimple geometrical representation.\n  This paper proposes the use of an alternative representation in quantum\ninformation and computation for qubits as well as qudits based on the Majorana\nrepresentation on the Riemann Sphere, which preserves the simple sphere\nrepresentation.",
    "arxiv_id": "quant-ph/0604210",
    "authors": [
      "Rahul Bijurkar"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Representation of Qudits on a Riemann Sphere",
    "url": "https://arxiv.org/abs/quant-ph/0604210"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7a556b4b-239a-4f29-a60c-f453915d1253",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}