{
  "annotation_id": "e5e125cc-413c-44eb-afdb-4ce92174a1e9",
  "date_created": "2026-03-02T18:02:43.865000Z",
  "date_modified": "2026-03-02T18:02:43.865000Z",
  "file_hash": "6743d89bc7e38a0a2cbda27845e43137c291270b8dc686752259be66805fe9c2",
  "private": false,
  "record": {
    "abstract": "Kolmogorov introduced a concept of Epsilon-entropy to analyze information in\nclassical continuous system. The fractal dimension of geometrical sets was\nintroduced by Mandelbrot as a new criterion to analyze the complexity of these\nsets. The Epsilon-entropy and the fractal dimension of a state in general\nquantum system were introduced by one of the present authors in order to\ncharacterize chaotic properties of general states.\n  In this paper, we show that Epsilon-entropy of a state includes Kolmogorov\nEpsilon-entropy, and the fractal dimension of a state describe fractal\nstructure of Gaussian measures.",
    "arxiv_id": "quant-ph/9806027",
    "authors": [
      "Kei Inoue",
      "Takashi Matsuoka",
      "Masanori Ohya"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "New approach to Epsilon-entropy and Its comparison with Kolmogorov\u0027s   Epsilon-entropy",
    "url": "https://arxiv.org/abs/quant-ph/9806027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e4ea99ab-fc8a-420a-83d2-dc7c14630b43",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}