{
  "annotation_id": "6b5a7ac5-d5e4-46c7-8fa9-d005dd9b8f81",
  "date_created": "2026-03-02T18:02:40.454000Z",
  "date_modified": "2026-03-02T18:02:40.454000Z",
  "file_hash": "8c448969d89dc4b4f0fa32b81942a94af806155afc8715927a7054f7363b5e8f",
  "private": false,
  "record": {
    "abstract": "I construct a quantum error correction code (QECC) in higher spin systems\nusing the idea of multiplicative group character. Each $N$ state quantum\nparticle is encoded as five $N$ state quantum registers. By doing so, this code\ncan correct any quantum error arising from any one of the five quantum\nregisters. This code generalizes the well-known five qubit perfect code in\nspin-1/2 systems and is shown to be optimal for higher spin systems. I also\nreport a simple algorithm for encoding. The importance of multiplicative group\ncharacter in constructing QECCs will be addressed.",
    "arxiv_id": "quant-ph/9702033",
    "authors": [
      "H. F. Chau"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.56.R1",
    "title": "Five Quantum Register Error Correction Code For Higher Spin Systems",
    "url": "https://arxiv.org/abs/quant-ph/9702033"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ab486d3b-ee1d-4e0e-86d5-9c8447e70f3e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}