{
  "annotation_id": "a1953245-d6fb-4899-a958-6e7b44c00e57",
  "date_created": "2026-03-02T18:02:10.243000Z",
  "date_modified": "2026-03-02T18:02:10.243000Z",
  "file_hash": "0cbebb9fe9860420464349552fead275c5c444248fe9d3ba19ddaeede520a46b",
  "private": false,
  "record": {
    "abstract": "Simpler encoding and decoding networks are necessary for more reliable\nquantum error correcting codes (QECCs). The simplification of the\nencoder-decoder circuit for a perfect five-qubit QECC can be derived\nanalytically if the QECC is converted from its equivalent one-way entanglement\npurification protocol (1-EPP). In this work, the analytical method to simplify\nthe encoder-decoder circuit is introduced and a circuit that is as simple as\nthe existent simplest circuits is presented as an example. The encoder-decoder\ncircuit presented here involves nine single- and two-qubit unitary operations,\nonly six of which are controlled-NOT (CNOT) gates.",
    "arxiv_id": "quant-ph/0410004",
    "authors": [
      "Jin-Yuan Hsieh",
      "Che-Ming Li",
      "Der-San Chuu"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1367-2630/8/5/080",
    "journal_ref": "New J. Phys. 8 (2006) 80",
    "title": "Analytical technique for simplification of the encoder-decoder circuit   for a perfect five-qubit error correction",
    "url": "https://arxiv.org/abs/quant-ph/0410004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1ebbf288-a0df-4258-a35d-c4e7bfda6477",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}