{
  "annotation_id": "6cc2d1d2-0450-43fe-a62e-fd8ccf478e5f",
  "date_created": "2026-03-02T18:02:27.355000Z",
  "date_modified": "2026-03-02T18:02:27.355000Z",
  "file_hash": "f49191cb9760186aba4b87e0fb009fed69ba4be3eefefac7c7b9aaa340f66f04",
  "private": false,
  "record": {
    "abstract": "In a recent paper ([1]=quant-ph/0606035) it is shown how the optimal recovery\noperation in an error correction scheme can be considered as a semidefinite\nprogram. As a possible future improvement it is noted that still better error\ncorrection might be obtained by optimizing the encoding as well. In this note\nwe present the result of such an improvement, specifically for the four-bit\ncorrection of an amplitude damping channel considered in [1]. We get a strict\nimprovement for almost all values of the damping parameter. The method (and the\ncomputer code) is taken from our earlier study of such correction schemes\n(quant-ph/0307138).",
    "arxiv_id": "quant-ph/0606059",
    "authors": [
      "M. Reimpell",
      "R. F. Werner",
      "K. Audenaert"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Comment on \"Optimum Quantum Error Recovery using Semidefinite   Programming\"",
    "url": "https://arxiv.org/abs/quant-ph/0606059"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8523ea3e-16f0-46f8-8213-e7b8b4ae6cde",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}