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Discrete Approximation of Quantum Stochastic Models

Mathematical Physics 2008-10-20 v2 math.MP

Abstract

We develop a general technique for proving convergence of repeated quantum interactions to the solution of a quantum stochastic differential equation. The wide applicability of the method is illustrated in a variety of examples. Our main theorem, which is based on the Trotter-Kato theorem, is not restricted to a specific noise model and does not require boundedness of the limit coefficients.

Keywords

Cite

@article{arxiv.0803.4383,
  title  = {Discrete Approximation of Quantum Stochastic Models},
  author = {Luc Bouten and Ramon van Handel},
  journal= {arXiv preprint arXiv:0803.4383},
  year   = {2008}
}
R2 v1 2026-06-21T10:25:57.490Z