{
  "annotation_id": "28c7321d-fbbc-4253-9b94-1c69dce4c988",
  "date_created": "2026-03-02T18:02:20.552000Z",
  "date_modified": "2026-03-02T18:02:20.552000Z",
  "file_hash": "19d001fa07be868818cf03443e508e59cd1ba1931b52fe68112ae197dbef3a1e",
  "private": false,
  "record": {
    "abstract": "We solve the fundamental quantum error correction problem for bi-unitary\nchannels on two-qubit Hilbert space. By solving an algebraic compression\nproblem, we construct qubit codes for such channels on arbitrary dimension\nHilbert space, and identify correctable codes for Pauli-error models not\nobtained by the stabilizer formalism. This is accomplished through an\napplication of a new tool for error correction in quantum computing called the\n``higher-rank numerical range\u0027\u0027. We describe its basic properties and discuss\npossible further applications.",
    "arxiv_id": "quant-ph/0511101",
    "authors": [
      "Man-Duen Choi",
      "David W. Kribs",
      "Karol Zyczkowski"
    ],
    "categories": [
      "quant-ph",
      "math.FA",
      "math.OA"
    ],
    "doi": "10.1016/S0034-4877(06)80041-8",
    "journal_ref": "Rep. Math. Phys., 58 (2006), 77-91.",
    "title": "Quantum Error Correcting Codes From The Compression Formalism",
    "url": "https://arxiv.org/abs/quant-ph/0511101"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "409121bb-8b6e-42a2-a58d-ee8319066ff0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}