{
  "annotation_id": "7fb79e1c-adca-4394-a7ef-52bfd5966c75",
  "date_created": "2026-03-02T18:02:03.461000Z",
  "date_modified": "2026-03-02T18:02:03.461000Z",
  "file_hash": "eb4630ff51c9aaef027bf8bdf0c3382b3e31d3ae4860a7972b0277be15d7e0e4",
  "private": false,
  "record": {
    "abstract": "We present a modification of Simon\u0027s algorithm that in some cases is able to\nfit experimentally obtained data to appropriately chosen trial functions with\nhigh probability. Modulo constants pertaining to the reliability and\nprobability of success of the algorithm, the algorithm runs using only\nO(polylog(|Y|)) queries to the quantum database and O(polylog(|X|,|Y|))\nelementary quantum gates where |X| is the size of the experimental data set and\n|Y| is the size of the parameter space.We discuss heuristics for good\nperformance, analyze the performance of the algorithm in the case of linear\nregression, both one-dimensional and multidimensional, and outline the\nalgorithm\u0027s limitations.",
    "arxiv_id": "quant-ph/0310029",
    "authors": [
      "Darin Goldstein"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1117/12.485746",
    "title": "Quantum Modeling",
    "url": "https://arxiv.org/abs/quant-ph/0310029"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5e89504b-6f77-43b7-81d4-ceef048f8499",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}