Convergence Analysis of Galerkin Approximations for the Lindblad Master Equation
- URL: http://arxiv.org/abs/2510.11416v1
- Date: Mon, 13 Oct 2025 13:53:56 GMT
- Title: Convergence Analysis of Galerkin Approximations for the Lindblad Master Equation
- Authors: Rémi Robin, Pierre Rouchon,
- Abstract summary: This paper analyzes the numerical approximation of the Lindblad master equation on infinite-dimensional Hilbert spaces.<n>We employ a classical Galerkin approach for spatial discretization and investigate the convergence of the discretized solution to the exact solution.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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.
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