{
  "annotation_id": "df08396f-d524-4fbd-9e04-11d61937a8cf",
  "date_created": "2026-03-02T18:02:20.699000Z",
  "date_modified": "2026-03-02T18:02:20.699000Z",
  "file_hash": "38e13238e562d69d2791ceee3d93d2179e07ac7a7c25ea0e6dfe97c302fc6522",
  "private": false,
  "record": {
    "abstract": "The intermediate quantum states of multiple qubits, generated during the\noperation of Shor\u0027s factoring algorithm are analyzed. Their entanglement is\nevaluated using the Groverian measure. It is found that the entanglement is\ngenerated during the pre-processing stage of the algorithm and remains nearly\nconstant during the quantum Fourier transform stage. The entanglement is found\nto be correlated with the speedup achieved by the quantum algorithm compared to\nclassical algorithms.",
    "arxiv_id": "quant-ph/0510042",
    "authors": [
      "Yishai Shimoni",
      "Daniel Shapira",
      "Ofer Biham"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.062308",
    "journal_ref": "Phys Rev A. 72, 062308 (2005)",
    "title": "Entangled Quantum States Generated by Shor\u0027s Factoring Algorithm",
    "url": "https://arxiv.org/abs/quant-ph/0510042"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "859a8665-6602-4eb7-89fc-ea2ae5dba4db",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}