{
  "annotation_id": "336ba301-99da-4a2e-8916-4bc5c2c1ae11",
  "date_created": "2026-03-02T18:02:34.541000Z",
  "date_modified": "2026-03-02T18:02:34.541000Z",
  "file_hash": "a8cd0e8e9159723bbd89520015c1a3e7b2123b3ad51ddacbce174bad01045b9d",
  "private": false,
  "record": {
    "abstract": "We give a short proof that the coherent information is an achievable rate for\nthe transmission of quantum information through a noisy quantum channel. Our\nmethod is to produce random codes by performing a unitarily covariant\nprojective measurement on a typical subspace of a tensor power state. We show\nthat, provided the rank of each measurement operator is sufficiently small, the\ntransmitted data will with high probability be decoupled from the channel\u0027s\nenvironment. We also show that our construction leads to random codes whose\naverage input is close to a product state and outline a modification yielding\nunitarily invariant ensembles of maximally entangled codes.",
    "arxiv_id": "quant-ph/0702005",
    "authors": [
      "Patrick Hayden",
      "Michal Horodecki",
      "Andreas Winter",
      "Jon Yard"
    ],
    "categories": [
      "quant-ph",
      "cs.IT",
      "math.IT"
    ],
    "doi": "10.1142/S1230161208000043",
    "journal_ref": "Open Syst. Inf. Dyn. 15 (2008) 7-19",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "A decoupling approach to the quantum capacity",
    "url": "https://arxiv.org/abs/quant-ph/0702005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a39ad888-890c-4159-bb86-b75fd4517ef4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}