{
  "annotation_id": "17f2db8b-56cb-486b-8f12-913bbe59e147",
  "date_created": "2026-03-02T18:02:31.028000Z",
  "date_modified": "2026-03-02T18:02:31.028000Z",
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  "private": false,
  "record": {
    "abstract": "We propose a new strategy to physically implement a universal set of quantum\ngates based on geometric phases accumulated in the nondegenerate eigenstates of\na designated invariant operator in a periodic physical system. The system is\ndriven to evolve in such a way that the dynamical phase shifts of the invariant\noperator eigenstates are the same (or {\\it mod} $2\\pi$) while the corresponding\ngeometric phases are nontrivial.\n  We illustrate how this strategy to work in a simple but typical NMR-type\nqubit system.",
    "arxiv_id": "quant-ph/0610206",
    "authors": [
      "L. B. Shao",
      "Z. D. Wang",
      "D. Y. Xing"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.75.014301",
    "journal_ref": "Phys. Rev. A 75, 014301 (2007)",
    "title": "Implementation of quantum gates based on geometric phases accumulated in   the eigenstates of periodic invariant operators",
    "url": "https://arxiv.org/abs/quant-ph/0610206"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7b21502a-d8ff-47d6-8f18-7c48c63c1ea3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}