{
  "annotation_id": "b804671f-2f5b-4134-8efa-d5c2d772babd",
  "date_created": "2026-03-02T18:02:06.397000Z",
  "date_modified": "2026-03-02T18:02:06.397000Z",
  "file_hash": "ad9a5a0bd03ab181c1794542321fa8adc6c2f901829fa82afa4817aa22d8ef4d",
  "private": false,
  "record": {
    "abstract": "We present the application of the variational-wavelet approach to the\nconstruction and analysis of solutions of Wigner/von Neumann/Moyal and related\nequations corresponding to the nonlinear (polynomial) dynamical problems.\n(Naive) deformation quantization, the multiresolution representation (exact\nmultiscale decompostion) and the variational approach are the key points. We\nconstruct the solutions via the high-localized nonlinear eigenmodes in the base\nof the compactly supported wavelets and the wavelet packets. We demonstrate the\nappearance of (stable) localized patterns (waveletons) and consider\nentanglement and decoherence as possible applications.",
    "arxiv_id": "quant-ph/0405044",
    "authors": [
      "Antonina N. Fedorova",
      "Michael G. Zeitlin"
    ],
    "categories": [
      "quant-ph",
      "nlin.PS",
      "physics.optics"
    ],
    "doi": "10.1080/09500340408233642",
    "journal_ref": "J. of Modern Optics, Volume 51, Numbers 6-7, 1105, 2004",
    "title": "Localized states (\"qubits\"), entanglement and decoherence from Wigner   zoo",
    "url": "https://arxiv.org/abs/quant-ph/0405044"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "60d856ed-9432-44e3-aee0-592cd45c4fee",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}