{
  "annotation_id": "c8aefe8c-2d5e-4e36-9ad7-d8b4b435e0ac",
  "date_created": "2026-03-02T18:01:58.989000Z",
  "date_modified": "2026-03-02T18:01:58.989000Z",
  "file_hash": "3c2100ab9aabe8a29dfb833a2df35750332201d85df59cd036705c69d70b7dbb",
  "private": false,
  "record": {
    "abstract": "The density matrix formalism which is widely used in the theory of\nmeasurements, quantum computing, quantum description of chemical and biological\nsystems always imply the averaging over the states of the environment. In\npractice this is impossible because the environment $U\\setminusS$ of the system\n$S$ is the complement of this system to the whole Universe and contains\ninfinitely many degrees of freedom. A novel method of construction density\nmatrix which implies the averaging only over the direct environment is\nproposed. The Hilbert space of state vectors for the hierarchic quantum systems\nis constructed.",
    "arxiv_id": "quant-ph/0305194",
    "authors": [
      "M. V. Altaisky"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "International Journal of Quantum Information, Vol. 1. No. 2\n  (2003)1-10",
    "title": "Quantum states of hierarchic systems",
    "url": "https://arxiv.org/abs/quant-ph/0305194"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0dfd3849-01c4-44b1-9c1a-8b2a0207f2e1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}