Discrete Approximation of Quantum Stochastic Models

TL;DR

This paper introduces a general method for proving the convergence of repeated quantum interactions to quantum stochastic differential equations, applicable across various models without restrictions on noise or boundedness.

Contribution

The authors present a novel, broadly applicable convergence proof technique for quantum stochastic models based on the Trotter-Kato theorem, extending previous methods.

Findings

The method successfully demonstrates convergence in multiple example scenarios.

It does not require boundedness of the limit coefficients.

The approach is applicable to a wide range of noise models.

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.