{
  "annotation_id": "b7431321-80f5-46cd-b88b-68219c7167dd",
  "date_created": "2026-03-02T18:00:43.143000Z",
  "date_modified": "2026-03-02T18:00:43.143000Z",
  "file_hash": "6192d71e467a2efd7b606187624e5a6b63fca12c733ad35bf7a9e617a0001e90",
  "private": false,
  "record": {
    "abstract": "A two-step optimization is proposed to represent an arbitrary quantum state\nto a desired accuracy with the least number of gaussians in phase space. The\nHusimi distribution of the quantum state provides the information to determine\nthe modulus of the weight for the gaussians. Then, the phase information\ncontained in the Wigner distribution is used to obtain the full complex weights\nby considering the relative phases for pairs of gaussians, the chords. The\nmethod is exemplified with several excited states n of the harmonic and the\nMorse oscillators. A semiclassical interpretation of the number of gaussians\nneeded as a function of the quantum number n is given. The representation can\nalso be used to characterize Wigner and Husimi distributions directly which do\nnot originate in a quantum state.",
    "arxiv_id": "physics/0304029",
    "authors": [
      "Anatole Kenfack",
      "Jan M Rost",
      "Alfredo M Ozorio de Almeida"
    ],
    "categories": [
      "physics.atm-clus"
    ],
    "doi": "10.1088/0953-4075/37/8/007",
    "journal_ref": "J. Phys. B: At. Mol. Opt. Phys. 37 (2004) 1645-1657",
    "title": "Optimal representations of quantum states by gaussians in phase space",
    "url": "https://arxiv.org/abs/physics/0304029"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fb28958a-d549-48cc-aff4-a5e6e24368b1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}