{
  "annotation_id": "096404f2-8249-4953-9897-c2ee1617b1eb",
  "date_created": "2026-03-02T18:01:51.772000Z",
  "date_modified": "2026-03-02T18:01:51.772000Z",
  "file_hash": "fccb2589eb6cb3f071ba7c53d39bed1e7cca315a9c5339deeb9ae5986a5acf39",
  "private": false,
  "record": {
    "abstract": "A simple alternative scheme for implementing quantum gates with a single\ntrapped cold two-level ion beyond the Lamb-Dicke (LD) limit is proposed. Basing\non the quantum dynamics for the laser-ion interaction described by a\ngeneralized Jaynes-Cummings model, one can introduce two kinds of elementary\nquantum operations i.e., the simple rotation on the bare atomic state,\ngenerated by applying a resonant pulse, and the joint operation on the internal\nand external degrees of the ion, performed by using an off-resonant pulse.\nSeveral typical quantum gates, including Hadamard gate, controlled-Z and\ncontrolled-NOT gates $etc.$, can thus be implemented exactly by using these\nelementary operations. The experimental parameters including the LD parameter\nand the durations of the applied laser pulses, for these implementation are\nderived analytically and numerically. Neither the LD approximation for the\nlaser-ion interaction nor the auxiliary atomic level is needed in the present\nscheme.",
    "arxiv_id": "quant-ph/0205116",
    "authors": [
      "L. F. Wei",
      "S. Y. Liu",
      "X. L. Lei"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0030-4018(02)01555-9",
    "journal_ref": "Opt. Comm. 208, 131 (2002)",
    "title": "Elementary operations for quantum logic with a single trapped two-level   cold ion beyond Lamb-Dicke limit",
    "url": "https://arxiv.org/abs/quant-ph/0205116"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a75de130-97aa-402e-b73b-2aec0845e2aa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}