{
  "annotation_id": "985741dc-fc09-4ad7-82c2-34bcf48438bb",
  "date_created": "2026-03-02T18:02:06.402000Z",
  "date_modified": "2026-03-02T18:02:06.402000Z",
  "file_hash": "4e0e64d9430d94e70bd3c0f1448c2801cbca2247b1104ca94f0a37ca9e821162",
  "private": false,
  "record": {
    "abstract": "A generalization of the stabilizer code construction presented by Gottesman\nis described, which allows for the construction of quantum error-correcting\ncodes for continuous-variable systems. This formalism describes all\ncontinuous-variable codes presented to date, and can be used to construct new\ncodes based on discrete-variable codes or classical codes. We use it to\ndescribe the nine-mode code given by Lloyd and Slotine, and a five-mode code\ndescribed by Braunstein. In addition, we construct a new continuous-variable\ncode based an code of Gottesman which encodes three logical modes of\ninformation into eight physical modes and corrects one error. This\ngeneralization is a step toward an independent understanding of\ncontinuous-variable quantum information and a theory of fault-tolerant quantum\ninformation processing.",
    "arxiv_id": "quant-ph/0405064",
    "authors": [
      "Richard L. Barnes"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Stabilizer Codes for Continuous-variable Quantum Error Correction",
    "url": "https://arxiv.org/abs/quant-ph/0405064"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "90be343f-3fe5-48ec-b0f3-c9241edb453e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}