{
  "annotation_id": "7ed4a12a-8d94-4add-bfc9-ab921c8acd50",
  "date_created": "2026-03-02T18:01:48.896000Z",
  "date_modified": "2026-03-02T18:01:48.896000Z",
  "file_hash": "6e1248031e878e20a624fce75c4b65fc884b3f00144e944025c86fb159ed4fb9",
  "private": false,
  "record": {
    "abstract": "Modern quantum information theory deals with an idealized situation when the\nspacetime dependence of quantum phenomena is neglected. However the\ntransmission and processing of (quantum) information is a physical process in\nspacetime. Therefore such basic notions in quantum information theory as qubit,\nchannel, composite systems and entangled states should be formulated in space\nand time. In particlular we suggest that instead of a two level system (qubit)\nthe basic notion in a relativistic quantum information theory should be a\nnotion of an elementary quantum system, i.e. an infinite dimensional Hilbert\nspace $H$ invariant under an irreducible representation of the Poincare group\nlabeled by $[m,s]$ where $m\\geq 0$ is mass and $s=0,1/2,1,...$ is spin. We\nemphasize an importance of consideration of quantum information theory from the\npoint of view of quantum field theory. We point out and discuss a fundamental\nfact that in quantum field theory there is a statistical dependence between two\nregions in spacetime even if they are spacelike separated. A classical\nprobabilistic representation for a family of correlation functions in quantum\nfield theory is obtained. Entangled states in space and time are considered. It\nis shown that any reasonable state in relativistic quantum field theory becomes\ndisentangled (factorizable) at large spacelike distances if one makes local\nobservations. As a result a violation of Bell`s inequalities can be observed\nwithout inconsistency with principles of relativistic quantum theory only if\nthe distance between detectors is rather small. We suggest a further\nexperimental study of entangled states in spacetime by studying the dependence\nof the correlation functions on the distance between detectors.",
    "arxiv_id": "quant-ph/0203030",
    "authors": [
      "Igor V. Volovich"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.mes-hall",
      "gr-qc",
      "hep-th"
    ],
    "title": "Towards Quantum Information Theory in Space and Time",
    "url": "https://arxiv.org/abs/quant-ph/0203030"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cd417e42-8d44-4a10-9f9c-e635e3688ca7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}