{
  "annotation_id": "9a175737-6bad-4d03-98bf-d0311ebd1f54",
  "date_created": "2026-03-02T18:02:10.169000Z",
  "date_modified": "2026-03-02T18:02:10.169000Z",
  "file_hash": "e0ea71886bdf1738c3f3cef662b2cbc4952cbc5f7a096a711695d170055bc930",
  "private": false,
  "record": {
    "abstract": "We propose a general theoretical approach to quantum measurements based on\nthe path (histories) summation technique. For a given dynamical variable A, the\nSchr\\\"odinger state of a system in a Hilbert space of arbitrary dimensionality\nis decomposed into a set of substates, each of which corresponds to a\nparticular detailed history of the system. The coherence between the substates\nmay then be destroyed by meter(s) to a degree determined by the nature and the\naccuracy of the measurement(s) which may be of von Neumann, finite-time or\ncontinuous type. Transformations between the histories obtained for\nnon-commuting variables and construction of simultaneous histories for\nnon-commuting observables are discussed. Important cases of a particle\ndescribed by Feynman paths in the coordinate space and a qubit in a two\ndimensional Hilbert space are studied in some detail.",
    "arxiv_id": "quant-ph/0407043",
    "authors": [
      "D. Sokolovski",
      "R. Sala Mayato"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Path summation and quantum measurements",
    "url": "https://arxiv.org/abs/quant-ph/0407043"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bd989860-4763-491d-9ebc-d2eeea85d5a0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}