{
  "annotation_id": "5512802a-2288-42b8-84e1-663dbb483f6d",
  "date_created": "2026-03-02T18:02:22.877000Z",
  "date_modified": "2026-03-02T18:02:22.877000Z",
  "file_hash": "a586b06a317328f97f731dc77548799de395e4a9613b4f2adb72a84096a6672d",
  "private": false,
  "record": {
    "abstract": "Most quantum tomographic methods can only be used for one-dimensional\nproblems. We show how to infer the quantum state of a non-relativistic\nN-dimensional harmonic oscillator system by simple inverse Radon transforms.\nThe procedure is equally applicable to finding the joint quantum state of\nseveral distinguishable particles in different harmonic oscillator potentials.\nA requirement of the procedure is that the angular frequencies of the N\nharmonic potentials are incommensurable. We discuss what kind of information\ncan be found if the requirement of incommensurability is not fulfilled and also\nunder what conditions the state can be reconstructed from finite time\nmeasurements. As a further example of quantum state reconstruction in N\ndimensions we consider the two related cases of an N-dimensional free particle\nwith periodic boundary conditions and a particle in an N-dimensional box, where\nwe find a similar condition of incommensurability and finite recurrence time\nfor the one-dimensional system.",
    "arxiv_id": "quant-ph/0511173",
    "authors": [
      "Anders S. Mouritzen",
      "Klaus Molmer"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.73.042105",
    "title": "Tomographic reconstruction of quantum states in N spatial dimensions",
    "url": "https://arxiv.org/abs/quant-ph/0511173"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b0407386-ab82-4e0d-84b1-a21b0743d108",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}