{
  "annotation_id": "c8bdc045-ef5a-4158-baac-2e40cc8c75df",
  "date_created": "2026-03-02T18:02:06.337000Z",
  "date_modified": "2026-03-02T18:02:06.337000Z",
  "file_hash": "a00f648f11d6b16ecd65d37a2e6f71a34ef1894545e7c13dd4b59471317c9fcc",
  "private": false,
  "record": {
    "abstract": "For the tensor of coherences parametrization of a multiqubit density\noperator, we provide an explicit formulation of the corresponding unitary\ndynamics at infinitesimal level. The main advantage of this formalism (clearly\nreminiscent of the idea of ``coherences\u0027\u0027 and ``coupling Hamiltonians\u0027\u0027 of spin\nsystems) is that the pattern of correlation between qubits and the pattern of\ninfinitesimal correlation are highlighted simultaneously and can be used\nconstructively for qubit manipulation. For example, it allows to compute\nexplicitly a Rodrigues\u0027 formula for the one-parameter orbits of nonlocal\nHamiltonians. The result is easily generalizable to orbits of Cartan\nsubalgebras and allows to write the Cartan decomposition of unitary propagators\nas a linear action.",
    "arxiv_id": "quant-ph/0404006",
    "authors": [
      "Claudio Altafini"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.70.032331",
    "journal_ref": "Physical Review A, 70:032331, 2004",
    "title": "Representing multiqubit unitary evolutions: spin coherences and   infinitesimal coherences",
    "url": "https://arxiv.org/abs/quant-ph/0404006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "65e3bab5-6e91-4151-bded-570877061aee",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}