{
  "annotation_id": "9e225af6-c874-4836-b7a2-870c11ef9f18",
  "date_created": "2026-03-02T18:01:42.369000Z",
  "date_modified": "2026-03-02T18:01:42.369000Z",
  "file_hash": "ea6545dc3b8771bcfb62c88e00c4248f01e32cf5f7e9468d56d5db8c8b99dc58",
  "private": false,
  "record": {
    "abstract": "In this paper we investigate the limits of control for mixed-state quantum\nsystems. The constraint of unitary evolution for non-dissipative quantum\nsystems imposes kinematical bounds on the optimization of arbitrary\nobservables. We summarize our previous results on kinematical bounds and show\nthat these bounds are dynamically realizable for completely controllable\nsystems. Moreover, we establish improved bounds for certain partially\ncontrollable systems. Finally, the question of dynamical realizability of the\nbounds for arbitary partially controllable systems is shown to depend on the\naccessible sets of the associated control system on the unitary group U(N) and\nthe results of a few control computations are discussed briefly.",
    "arxiv_id": "quant-ph/0010032",
    "authors": [
      "S. G. Schirmer",
      "J. V. Leahy"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.63.025403",
    "journal_ref": "Phys.Rev.A63:025403,2001",
    "title": "Limits of control for quantum systems: kinematical bounds on the   optimization of observables and the question of dynamical realizability",
    "url": "https://arxiv.org/abs/quant-ph/0010032"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c92ef960-e57b-49b4-8c26-0042d9e16ab3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}