{
  "annotation_id": "213b6a61-9afa-4770-bf85-8acc42e34be3",
  "date_created": "2026-03-02T18:02:06.287000Z",
  "date_modified": "2026-03-02T18:02:06.287000Z",
  "file_hash": "65c963d1951ac00cf0fa3d7beecf3ded9e8c2b54f54ca59cbbfacb56b14a44ab",
  "private": false,
  "record": {
    "abstract": "The effect of electron-nuclear spin interactions on qubit operations is\ninvestigated for a qubit represented by the spin of an electron localized in a\nself-assembled quantum dot. The localized electron wave function is evaluated\nwithin the atomistic tight-binding model. The magnetic field generated by the\nnuclear spins is estimated in the presence of an inhomogeneous environment\ncharacterized by a random nuclear spin configuration, by the dot-size\ndistribution, by alloy disorder, and by interface disorder. Due to these\ninhomogeneities, the magnitude of the nuclear magnetic field varies from one\nqubit to another by the order of 100 G, 100 G, 10 G, and 0.1 G, respectively.\nThe fluctuation of the magnetic field causes errors in exchange operations due\nto the inequality of the Zeeman splitting between two qubits. We show that the\nerrors can be made lower than the quantum error threshold if an exchange energy\nlarger than 0.1 meV is used for the operation.",
    "arxiv_id": "quant-ph/0403122",
    "authors": [
      "Seungwon Lee",
      "Paul von Allmen",
      "Fabiano Oyafuso",
      "Gerhard Klimeck",
      "K. Birgitta Whaley"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.1850605",
    "title": "Effect of electron-nuclear spin interactions on electron-spin qubits   localized in self-assembled quantum dots",
    "url": "https://arxiv.org/abs/quant-ph/0403122"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "548e5157-9f13-4042-b390-ce035bd7128f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}