{
  "annotation_id": "e6168d67-19b7-48d0-9ffd-b33e91b9d2c5",
  "date_created": "2026-03-02T18:01:42.420000Z",
  "date_modified": "2026-03-02T18:01:42.420000Z",
  "file_hash": "520971d70c8b24678c7b5e83599c12bf6cd27adef69a607e058d824695c2f8dc",
  "private": false,
  "record": {
    "abstract": "We introduce the Shifted Legendre Symbol Problem and some variants along with\nefficient quantum algorithms to solve them. The problems and their algorithms\nare different from previous work on quantum computation in that they do not\nappear to fit into the framework of the Hidden Subgroup Problem. The classical\ncomplexity of the problem is unknown despite the various results on the\nirregularity of Legendre Sequences.",
    "arxiv_id": "quant-ph/0011067",
    "authors": [
      "Wim van Dam",
      "Sean Hallgren"
    ],
    "categories": [
      "quant-ph",
      "cs.CC",
      "math.NT"
    ],
    "title": "Efficient Quantum Algorithms for Shifted Quadratic Character Problems",
    "url": "https://arxiv.org/abs/quant-ph/0011067"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "946339a4-94b2-4262-a978-c898f184994b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}