106 citations · 187 across the 19 of their papers we have counts for
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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…
Diffusive Stochastic Master Equation (SME) with dispersive qubit/cavity coupling
Pierre Rouchon
We provide a detailed analysis of the quantum diffusive Stochastic Master Equation~(SME) for qubit/cavity systems with dispersive coupling, incorporating classical input signals an…
Time-averaged continuous quantum measurement
Pierre Guilmin, Pierre Rouchon, Antoine Tilloy
The theory of continuous quantum measurement allows to reconstruct the state of a system from a continuous stochastic measurement record . However, this truly continuous…
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…
Confinement to deterministic manifolds and low-dimensional solution formulas for continuously measured quantum systems
Alain Sarlette, Cyril Elouard, Pierre Rouchon
Quantum systems subjected to a continuous weak measurement process evolve according to stochastic differential equations (SDE). Depending on the outcomes of these stochastic measur…
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…