{
  "annotation_id": "85ffeaee-49e6-4a5b-b58c-a2e80886d6c6",
  "date_created": "2026-03-02T18:02:41.156000Z",
  "date_modified": "2026-03-02T18:02:41.156000Z",
  "file_hash": "8eb9304183640a32464c8607c0352793bf1dd7b1caac5b61c419522f07f28f1c",
  "private": false,
  "record": {
    "abstract": "This work introduces a relative diffusion transformation (RDT) - a simple\nunitary transformation which acts in a subspace, localized by an oracle. Such a\ntransformation can not be fulfilled on quantum Turing machines with this oracle\nin polynomial time in general case. It is proved, that every function\ncomputable in time T and space S on classical 1-dimensional cellular automaton,\ncan be computed with certainty in time O(S \\sqrt T) on quantum computer with\nRDTs over the parts of intermediate products of classical computation. This\nrequires multiprocessor, which consists of \\sqrt T quantum devices each of O(S)\nsize, working in parallel-serial mode and interacting by classical lows.",
    "arxiv_id": "quant-ph/9706003",
    "authors": [
      "Yuri Ozhigov"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "About the quantum mechanical speeding up of classical algorithms",
    "url": "https://arxiv.org/abs/quant-ph/9706003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "13fd14bf-a619-4e1b-816f-e3a0d75e963a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}