{
  "annotation_id": "c521cffc-2488-4e5f-8e00-ec0e94f36057",
  "date_created": "2026-03-02T18:02:27.109000Z",
  "date_modified": "2026-03-02T18:02:27.109000Z",
  "file_hash": "70f484f12201bcc5c8324b53501b2f2093bb964f62dfbb528225aaffb56cccee",
  "private": false,
  "record": {
    "abstract": "In this paper, we consider the problem of model equivalence for quantum\nsystems. Two models are said to be (input-output) equivalent if they give the\nsame output for every admissible input. In the case of quantum systems, the\noutput is the expectation value of a given observable or, more in general, a\nprobability distribution for the result of a quantum measurement. We link the\ninput-output equivalence of two models to the existence of a homomorphism of\nthe underlying Lie algebra. In several cases, a Cartan decomposition of the Lie\nalgebra su(n) is useful to find such a homomorphism and to determine the\nclasses of equivalent models. We consider in detail the important cases of two\nlevel systems with a Cartan structure and of spin networks. In the latter case,\ncomplete results are given generalizing previous results to the case of\nnetworks of spin particles with any value of the spin. In treating this\nproblem, we prove some instrumental results on the subalgebras of su(n) which\nare of independent interest.",
    "arxiv_id": "quant-ph/0606057",
    "authors": [
      "Francesca Albertini",
      "Domenico D\u0027Alessandro"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Analysis and identification of quantum dynamics using Lie algebra   homomorphisms and Cartan decompositions",
    "url": "https://arxiv.org/abs/quant-ph/0606057"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "40e0c426-5078-406c-910f-57c51c7bccc1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}