{
  "annotation_id": "153a558c-812b-45f3-945c-589aa8e49269",
  "date_created": "2026-03-02T18:02:05.808000Z",
  "date_modified": "2026-03-02T18:02:05.808000Z",
  "file_hash": "68ef00f41cf2aec0bd0405959c9a09a442ece3204b6439f773ba2cfb0ca3a9c7",
  "private": false,
  "record": {
    "abstract": "We give the trade-off curve showing the capacity of a quantum channel as a\nfunction of the amount of entanglement used by the sender and receiver for\ntransmitting information. The endpoints of this curve are given by the\nHolevo-Schumacher-Westmoreland capacity formula and the entanglement-assisted\ncapacity, which is the maximum over all input density matrices of the quantum\nmutual information. The proof we give is based on the\nHolevo-Schumacher-Westmoreland formula, and also gives a new and simpler proof\nfor the entanglement-assisted capacity formula.",
    "arxiv_id": "quant-ph/0402129",
    "authors": [
      "Peter W. Shor"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "The classical capacity achievable by a quantum channel assisted by   limited entanglement",
    "url": "https://arxiv.org/abs/quant-ph/0402129"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2b3e75d6-4103-42ff-bb7e-be6612c09ad1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}