{
  "annotation_id": "6255f7e9-c8b2-4bbe-a50b-3378eef617be",
  "date_created": "2026-03-02T18:02:02.262000Z",
  "date_modified": "2026-03-02T18:02:02.262000Z",
  "file_hash": "f4698d5b3df87c73cf974d681d603a7b4025b0b94aaa39065560fbe7a8ae01b7",
  "private": false,
  "record": {
    "abstract": "We analyze the dynamical-algebraic approach to universal quantum control\nintroduced in P. Zanardi, S. Lloyd, quant-ph/0305013. The quantum state-space\n$\\cal H$ encoding information decomposes into irreducible sectors and\nsubsystems associated to the group of available evolutions. If this group\ncoincides with the unitary part of the group-algebra $\\CC{\\cal K}$ of some\ngroup $\\cal K$ then universal control is achievable over the ${\\cal\nK}$-irreducible components of $\\cal H$. This general strategy is applied to\ndifferent kind of bosonic systems. We first consider massive bosons in a\ndouble-well and show how to achieve universal control over all\nfinite-dimensional\n  Fock sectors. We then discuss a multi-mode massless case giving the\nconditions for generating the whole infinite-dimensional multi-mode\nHeisenberg-Weyl enveloping-algebra. Finally we show how to use an auxiliary\nbosonic mode coupled to finite-dimensional systems to generate high-order\nnon-linearities needed for universal control.",
    "arxiv_id": "quant-ph/0308133",
    "authors": [
      "Paolo Giorda",
      "Paolo Zanardi",
      "Seth Lloyd"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.68.062320",
    "title": "Universal quantum control in irreducible state-space sectors:   application to bosonic and spin-boson systems",
    "url": "https://arxiv.org/abs/quant-ph/0308133"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d8036f01-a4f3-4d93-8deb-555415683273",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}