{
  "annotation_id": "2d28c135-e257-4ecb-85b1-d40b57859a95",
  "date_created": "2026-03-02T18:01:46.207000Z",
  "date_modified": "2026-03-02T18:01:46.207000Z",
  "file_hash": "7990cd2c0a8f2a43e5c046a82e0545b64d2e0639759541a6ab84449680574798",
  "private": false,
  "record": {
    "abstract": "We consider the problem of steering control for the systems of one spin 1/2\nparticle and two interacting homonuclear spin 1/2 particles in an\nelectro-magnetic field. The describing models are bilinear systems whose state\nvaries on the Lie group of special unitary matrices of dimensions two and four,\nrespectively. By performing decompositions of Lie groups, taking into account\nthe describing equations at hand, we derive control laws to steer the state of\nthe system to any desired final configuration. Explicit formulas are given for\nthe parameters involved in the control algorithms. Moreover, the proposed\nalgorithms allow for arbitrary bounds on the magnitude of the controls and for\nsome flexibility in the specification of the final time which must be greater\nthan a given value but otherwise arbitrary.",
    "arxiv_id": "quant-ph/0106127",
    "authors": [
      "D. D\u0027Alessandro"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Control of one and two homonuclear spins",
    "url": "https://arxiv.org/abs/quant-ph/0106127"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "76a7d385-4659-4e17-9615-80968680adab",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}