{
  "annotation_id": "d49ecd6a-6070-40af-a97a-011786b8c8ae",
  "date_created": "2026-03-02T18:01:45.960000Z",
  "date_modified": "2026-03-02T18:01:45.960000Z",
  "file_hash": "a8025291938475c25b6c6bb7ece87da4a771c25dd35cef05eff856fa2e1fa6f6",
  "private": false,
  "record": {
    "abstract": "This paper proves that the remote state preparation (RSP) scheme in real\nHilbert space can only be implemented when the dimension of the space is 2,4 or\n8. This fact is shown to be related to the parallelazablity of the $n$-1\ndimensional sphere $S^{n-1}$. When the dimension is 4 and 8 the generalized\nscheme is explicitly presented. It is also shown that for a given state with\ncomponents having the same norm, RSP can be generalized to arbitrary dimension\ncase.",
    "arxiv_id": "quant-ph/0105088",
    "authors": [
      "Bei Zeng",
      "Peng Zhang"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.65.022316",
    "title": "Remote state preparation in higher dimension and the parallelizable   manifold $S^{n-1}$",
    "url": "https://arxiv.org/abs/quant-ph/0105088"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "492665a1-ca76-4aa6-81d2-90d1299af5bf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}