{
  "annotation_id": "e4288da4-29d7-4fba-b096-edd682b72a65",
  "date_created": "2026-03-02T18:02:41.162000Z",
  "date_modified": "2026-03-02T18:02:41.162000Z",
  "file_hash": "c8102f755e789259843231bb0f646ad00635cb727b22781852bf7095780f8c6a",
  "private": false,
  "record": {
    "abstract": "A fundamental question in quantum mechanics is, whether it is possible to\nreplicate an arbitrary unknown quantum state. Then famous quantum no-cloning\ntheorem [Nature 299, 802 (1982)] says no to the question. But it leaves open\nthe following question: If the state is not arbitrary, but secretly chosen from\na certain set $\\$={ | \\Psi _1\u003e ,| \\Psi_2\u003e ,... ,| \\Psi _n\u003e } $, whether is the\ncloning possible? This question is of great practical significance because of\nits applications in quantum information theory. If the states $| \\Psi_1\u003e, |\n\\Psi_2\u003e,...$ and $| \\Psi_n\u003e $ are linearly-dependent, similar to the proof of\nthe no-cloning theorem, the linearity of quantum mechanics forbids such\nreplication. In this paper, we show that, if the states $| \\Psi_1\u003e, | \\Psi _2\u003e,\n...$ and $| \\Psi_n\u003e $ are linearly-independent, they do can be cloned by a\nunitary-reduction process.",
    "arxiv_id": "quant-ph/9705018",
    "authors": [
      "Lu-Ming Duan",
      "Guang-Can Guo"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Linearly-independent quantum states can be cloned",
    "url": "https://arxiv.org/abs/quant-ph/9705018"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e26136e1-bf82-45ba-b13b-004fae8fd4c3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}