{
  "annotation_id": "09c46336-25e2-46f4-b42b-e15bda88e3f3",
  "date_created": "2026-03-02T18:02:41.541000Z",
  "date_modified": "2026-03-02T18:02:41.541000Z",
  "file_hash": "459101ca21a3d6e16849e0e6f679e6e07c2084a7b39a787e7402031872922d6c",
  "private": false,
  "record": {
    "abstract": "We show a new remarkable connection between the symmetric form of a quantum\nstochastic differential equation (QSDE) and the strong resolvent limit of\nSchr\\\"odinger equations in Fock space: the strong resolvent limit is unitary\nequivalent to QSDE in the adapted (or Ito) form, and the weak limit is unitary\nequivalent to the symmetric (or Stratonovich) form of QSDE.\n  We prove that QSDE is unitary equivalent to a symmetric boundary value\nproblem for the Schr\\\"odinger equation in Fock space. The boundary condition\ndescribes standard jumps of the phase and amplitude of components of Fock\nvectors belonging to the range of the resolvent. The corresponding Markov\nevolution equation (the Lindblad or Markov master equation) is derived from the\nboundary value problem for the Schr\\\"odinger equation.}",
    "arxiv_id": "quant-ph/9702061",
    "authors": [
      "Alexander M. Chebotarev"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum stochastic differential equation is unitary equivalent to a   symmetric boundary value problem in Fock space",
    "url": "https://arxiv.org/abs/quant-ph/9702061"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "655c0310-64bc-4da8-8a1d-83a50deba45a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}