{
  "annotation_id": "383e95a3-304c-4e44-9175-7c42d798350f",
  "date_created": "2026-03-02T18:01:46.123000Z",
  "date_modified": "2026-03-02T18:01:46.123000Z",
  "file_hash": "d13714b992b04a9f13799d7f7ad746177b216515f7d118b6f38938100efe70fe",
  "private": false,
  "record": {
    "abstract": "Many important results in modern quantum information theory have been\nobtained for an idealized situation when the spacetime dependence of quantum\nphenomena is neglected. However the transmission and processing of (quantum)\ninformation is a physical process in spacetime. Therefore such basic notions in\nquantum information theory as the notions of composite systems, entangled\nstates and the channel should be formulated in space and time. We emphasize the\nimportance of the investigation of quantum information in space and time.\nEntangled states in space and time are considered. A modification of Bell`s\nequation which includes the spacetime variables is suggested. A general\nrelation between quantum theory and theory of classical stochastic processes is\nproposed. It expresses the condition of local realism in the form of a {\\it\nnoncommutative spectral theorem}. Applications of this relation to the security\nof quantum key distribution in quantum cryptography are considered.",
    "arxiv_id": "quant-ph/0108073",
    "authors": [
      "Igor V. Volovich"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.mes-hall",
      "cs.IT",
      "gr-qc",
      "hep-ph",
      "hep-th",
      "math-ph",
      "math.IT",
      "math.MP",
      "math.PR"
    ],
    "title": "Quantum Information in Space and Time",
    "url": "https://arxiv.org/abs/quant-ph/0108073"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c089f91c-1a84-4b53-b139-29d349d10b25",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}