5 papers
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…
Stabilization of finite-energy grid states of a quantum harmonic oscillator by reservoir engineering with two dissipation channels
Rémi Robin, Pierre Rouchon, Lev-Arcady Sellem
We propose and analyze an experimentally accessible Lindblad master equation for a quantum harmonic oscillator, simplifying a previous proposal to alleviate implementation constrai…
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…
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…
Convergence of bipartite open quantum systems stabilized by reservoir engineering
Rémi Robin, Pierre Rouchon, Lev-Arcady Sellem
We study a generic family of Lindblad master equations modeling bipartite open quantum systems, where one tries to stabilize a quantum system by carefully designing its interaction…