{
  "annotation_id": "5f27f9e3-601a-42ba-a6c4-2f6e2a0731b8",
  "date_created": "2026-03-02T18:02:02.854000Z",
  "date_modified": "2026-03-02T18:02:02.854000Z",
  "file_hash": "190e2ecd8e18fde437248a1d97816c3ba3b3877293f5518b007f411c2a2359de",
  "private": false,
  "record": {
    "abstract": "We analyze analytically and numerically quantum logic gates in a\none-dimensional spin chain with Heisenberg interaction. Analytic solutions for\nbasic one-qubit gates and swap gate are obtained for a quantum computer based\non logical qubits. We calculated the errors caused by imperfect pulses which\nimplement the quantum logic gates. It is numerically demonstrated that the\nprobability error is proportional to $\\epsilon^4$, while the phase error is\nproportional to $\\epsilon$, where $\\epsilon$ is the characteristic deviation\nfrom the perfect pulse duration.",
    "arxiv_id": "quant-ph/0311152",
    "authors": [
      "G. P. Berman",
      "D. I. Kamenev",
      "V. I. Tsifrinovich"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Analytic solutions for quantum logic gates and modeling pulse errors in   a quantum computer with a Heisenberg interaction",
    "url": "https://arxiv.org/abs/quant-ph/0311152"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8ac1ac71-2a2c-402a-a869-e209adb6a56c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}