{
  "annotation_id": "6b08b371-f7c9-4ad5-adda-f1ce1ec09ba3",
  "date_created": "2026-03-02T18:01:49.396000Z",
  "date_modified": "2026-03-02T18:01:49.396000Z",
  "file_hash": "a8dda2ee30a07648e4750e664ec8b4efe0407624fbeb927ee46ee0e9dbacb0cf",
  "private": false,
  "record": {
    "abstract": "We study the relative error of the state-dependent N=\u003eL cloning. A copying\ntransformation and dimension of state space are not specified. Only the\nunitarity of quantum mechanical transformations is used. The proposed approach\nis based on the notion of the angle between two states. Firstly, the notion of\nthe angle between two states is discussed. The lower bound on the relative\nerror of copying with multiple copies is examined. In addition, the lower bound\non the absolute error is then studied. We compare the obtained bounds with the\ncase of maximizing the global fidelity.",
    "arxiv_id": "quant-ph/0111085",
    "authors": [
      "A. E. Rastegin"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Some bounds for quantum copying with multiple copies",
    "url": "https://arxiv.org/abs/quant-ph/0111085"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9da511cd-a51d-4ffc-98a3-dae0b747c03d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}