{
  "annotation_id": "b4ed8080-ec43-4127-b20a-6863b3b13de9",
  "date_created": "2026-03-02T18:02:23.739000Z",
  "date_modified": "2026-03-02T18:02:23.739000Z",
  "file_hash": "227665883f897ba9a877e48c9d30565450f15d7ebe7504328ef5fa5096b621c1",
  "private": false,
  "record": {
    "abstract": "The purpose of this paper is to study entanglement of quantum states by means\nof Schmidt decomposition. The notion of Schmidt information which characterizes\nthe non-randomness of correlations between two observers that conduct\nmeasurements of EPR-states is proposed. In two important particular cases - a\nfinite number of Schmidt modes with equal probabilities and Gaussian\ncorrelations- Schmidt information is equal to Shannon information. A universal\nmeasure of a dependence of two variables is proposed. It is based on Schmidt\nnumber and it generalizes the classical Pearson correlation coefficient. It is\ndemonstrated that the analytical model obtained can be applied to testing the\nnumerical algorithm of Schmidt modes extraction. A thermodynamic interpretation\nof Schmidt information is given. It describes the level of entanglement and\ncorrelations of micro-system with its environment",
    "arxiv_id": "quant-ph/0512062",
    "authors": [
      "A. Yu. Bogdanov",
      "Yu. I. Bogdanov",
      "K. A. Valiev"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Schmidt information and entanglement in quantum systems",
    "url": "https://arxiv.org/abs/quant-ph/0512062"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6497296f-2931-44fd-9a91-60527b10683f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}