{
  "annotation_id": "8e5b883c-71f6-4a6d-a8c0-d540ebff2b35",
  "date_created": "2026-03-02T18:02:41.596000Z",
  "date_modified": "2026-03-02T18:02:41.596000Z",
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  "private": false,
  "record": {
    "abstract": "The spectrum of a density matrix $\\rho(t)$ is conserved by a Lie-Nambu\ndynamics if $\\rho(t)$ is a self-adjoint and Hilbert-Schmidt solution of a\nnonlinear triple-bracket equation. This generalizes to arbitrary separable\n(positive- and indefinite-metric) Hilbert spaces the previous result which was\nvalid for finite-dimensional Hilbert spaces.",
    "arxiv_id": "quant-ph/9707013",
    "authors": [
      "Marek Czachor",
      "Marcin Marciniak"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(98)00047-4",
    "title": "Density matrix interpretation of solutions of Lie-Nambu equations",
    "url": "https://arxiv.org/abs/quant-ph/9707013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d0d6f935-2c51-4cd2-a95f-fe68f2823de8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}