Convergence Analysis of Galerkin Approximations for the Lindblad Master Equation
Theoretical analysis of numerical methods for quantum master equations, which is important for quantum computing and open quantum systems.
The paper provides convergence rates for Galerkin approximations of the Lindblad master equation on infinite-dimensional Hilbert spaces, with applications to autonomous quantum error correction.
This paper analyzes the numerical approximation of the Lindblad master equation on infinite-dimensional Hilbert spaces. We employ a classical Galerkin approach for spatial discretization and investigate the convergence of the discretized solution to the exact solution. Using \textit{a priori} estimates, we derive explicit convergence rates and demonstrate the effectiveness of our method through examples motivated by autonomous quantum error correction.