{
  "annotation_id": "e12a2f36-255b-46c6-9231-aa80656d0cad",
  "date_created": "2026-03-02T18:02:12.641000Z",
  "date_modified": "2026-03-02T18:02:12.641000Z",
  "file_hash": "f88beb819c77e62fb1471ce65e3fc0fff014a0eb0a5c872bb0eb5635465d91e1",
  "private": false,
  "record": {
    "abstract": "In the quantum system, perfect copying is impossible without prior knowledge.\nBut, perfect copying is possible, if it is known that unknown states to be\ncopied is contained by the set of orthogonal states, which is called the copied\nset. However, if our operation is limited to local operations and classical\ncommunications, this problem is not trivial. Recently, F. Anselmi, A. Chefles\nand M.B. Plenio constructed theory of local copying when the copied set\nconsists of maximally entangled states. They also classified the copied set\nwhen it consists of two orthogonal states (New. J. Phys. 6, 164 (2004)). In\nthis paper, we completely classify the copied set of local copying of the\nmaximally entangled states in the prime dimensional system. That is, we prove\nthat, in the prime dimensional system, the set of locally copiable maximally\nentangled states is equivalent to the set of Simultaneously Schmidt\ndecomposable canonical form Bell states. As a result, we conclude that local\ncopying of maximally entangled states is much more difficult than local\ndiscrimination at least in prime dimensional systems.",
    "arxiv_id": "quant-ph/0411143",
    "authors": [
      "Masaki Owari",
      "Masahito Hayashi"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Local copying of orthogonal maximally entangled states and its   relationship to local discrimination",
    "url": "https://arxiv.org/abs/quant-ph/0411143"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f045d228-27d2-4241-bd7f-30dcda85a6aa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}