{
  "annotation_id": "94896a29-f002-400a-a278-a6c3ad8edb8d",
  "date_created": "2026-03-02T18:01:45.922000Z",
  "date_modified": "2026-03-02T18:01:45.922000Z",
  "file_hash": "e88ad5400ef824ca4c6f34c3eb2f36d0ec9e1ec81b5a45dd72ebdc786acba949",
  "private": false,
  "record": {
    "abstract": "We study the properties of quantum stabilizer codes that embed a\nfinite-dimensional protected code space in an infinite-dimensional Hilbert\nspace. The stabilizer group of such a code is associated with a symplectically\nintegral lattice in the phase space of 2N canonical variables. From the\nexistence of symplectically integral lattices with suitable properties, we\ninfer a lower bound on the quantum capacity of the Gaussian quantum channel\nthat matches the one-shot coherent information optimized over Gaussian input\nstates.",
    "arxiv_id": "quant-ph/0105058",
    "authors": [
      "Jim Harrington",
      "John Preskill"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.64.062301",
    "journal_ref": "Phys. Rev. A 64, 062301 (2001)",
    "title": "Achievable rates for the Gaussian quantum channel",
    "url": "https://arxiv.org/abs/quant-ph/0105058"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2ba2846d-f1e6-42d8-b542-7b436537267c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}