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math.NA2025
Convergence Analysis of Galerkin Approximations for the Lindblad Master Equation
Rémi Robin, Pierre Rouchon
This paper analyzes the numerical approximation of the Lindblad master equation on infinite-dimensional Hilbert spaces. We employ a classical Galerkin approach for spatial discreti…
math.NA2025
Unconditionally stable time discretization of Lindblad master equations in infinite dimension using quantum channels
Rémi Robin, Pierre Rouchon, Lev-Arcady Sellem
We examine the time discretization of Lindblad master equations in infinite-dimensional Hilbert spaces. Our study is motivated by the fact that, with unbounded Lindbladian, project…
math.NA2025
A posteriori error estimates for the Lindblad master equation
Paul-Louis Etienney, Rémi Robin, Pierre Rouchon
We are interested in the simulation of open quantum systems governed by the Lindblad master equation in an infinite-dimensional Hilbert space. To simulate the solution of this equa…