{
  "annotation_id": "fe13854f-5a14-49a6-b6b6-f53155b785c8",
  "date_created": "2026-03-02T18:02:44.590000Z",
  "date_modified": "2026-03-02T18:02:44.590000Z",
  "file_hash": "a569b206d93c86c0a6e51d99b49311e815da45fa39022ab867f7755797def527",
  "private": false,
  "record": {
    "abstract": "To date, quantum computational algorithms have operated on a superposition of\nall basis states of a quantum system. Typically, this is because it is assumed\nthat some function f is known and implementable as a unitary evolution.\nHowever, what if only some points of the function f are known? It then becomes\nimportant to be able to encode only the knowledge that we have about f. This\npaper presents an algorithm that requires a polynomial number of elementary\noperations for initializing a quantum system to represent only the m known\npoints of a function f.",
    "arxiv_id": "quant-ph/9807054",
    "authors": [
      "Dan Ventura",
      "Tony Martinez"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Found.Phys.Lett. 12 (1999) 547-559",
    "title": "Initializing the Amplitude Distribution of a Quantum State",
    "url": "https://arxiv.org/abs/quant-ph/9807054"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2373b77d-09ea-40be-82f3-a8a4a9bc178c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}