{
  "annotation_id": "9ad266c9-0dc5-4b14-a78f-98eb079348fd",
  "date_created": "2026-03-02T18:02:20.229000Z",
  "date_modified": "2026-03-02T18:02:20.229000Z",
  "file_hash": "b271a4f36f4e809033d8f71df23e0b9d1df1178c886c7fb17ea0a71e7b8dc254",
  "private": false,
  "record": {
    "abstract": "In this paper we construct the Quantum Gau\\ss Jordan Elimination (QGJE)\nAlgorithm and estimate the complexity time of computation of Reduced Row\nEchelon Form (RREF) of an $N\\times N$ matrix using QGJE procedure. The main\ntheorem asserts that QGJE has computation time of order $2^{N/2}$.",
    "arxiv_id": "quant-ph/0511062",
    "authors": [
      "Do Ngoc Diep",
      "Do Hoang Giang"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s10773-017-3340-8",
    "journal_ref": "International Journal of Theoretical Physics, Vol. 56(2017)",
    "title": "Quantum Gauss Jordan Elimination",
    "url": "https://arxiv.org/abs/quant-ph/0511062"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "032892fc-2f1a-44d6-9333-b3df7fa880d5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}