{
  "annotation_id": "cdf194e3-ff01-42f5-a688-c1c8e10c02df",
  "date_created": "2026-03-02T18:01:39.323000Z",
  "date_modified": "2026-03-02T18:01:39.323000Z",
  "file_hash": "6c99698e75f4298d16df88d5b8acbc2e72bf8b4ac20dcfb0caef56a886ebf316",
  "private": false,
  "record": {
    "abstract": "For configurational space of arbitrary dimension a strict form of the\nuncertainty principle has been obtained, which takes into account the\ndependence of inequality limit on the effective number of pure states present\nin given statistical mixture. It is shown that in a state with minimal\nuncertainty the density operators eigenfunctions coincide with the stationary\nwavefunctions of a multidimensional harmonic oscillator. The mixed state\nobtained has a permutational symmetry which is typical for a system of\nidentical bosons.",
    "arxiv_id": "quant-ph/0006055",
    "authors": [
      "M. U. Karelin",
      "A. M. Lazaruk"
    ],
    "categories": [
      "quant-ph",
      "physics.optics"
    ],
    "doi": "10.1088/0305-4470/33/38/311",
    "title": "Structure of the density matrix providing the minimum of generalized   uncertainty relation for mixed states",
    "url": "https://arxiv.org/abs/quant-ph/0006055"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "78002403-16b8-4213-964f-b8bca133e291",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}