2 citations · 2 across the 6 of their papers we have counts for
6 papers
Well-conditioned iterative methods for large open quantum systems
Gaspard Beugnot, Paul Gregory, Rémi Robin +1
Markovian open quantum systems are well modeled by the Lindblad Master Equation (ME) , where is a linear (super…
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…
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…
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…
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…
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…