17 citations · 18 across the 5 of their papers we have counts for
5 papers
Symmetry reduction and recovery of trajectories of optimal control problems via measure relaxations
Nicolas Augier, Didier Henrion, Milan Korda +1
We address the problem of symmetry reduction of optimal control problems under the action of a finite group from a measure relaxation viewpoint. We propose a method based on the mo…
Effective adiabatic control of a decoupled Hamiltonian obtained by rotating wave approximation
Nicolas Augier, Ugo Boscain, Mario Sigalotti
In this paper we study up to which extent we can apply adiabatic control strategies to a quantum control model obtained by rotating wave approximation. In particular, we show that,…
Ensemble qubit controllability with a single control via adiabatic and rotating wave approximations
Rémi Robin, Nicolas Augier, Ugo Boscain +1
In the physics literature it is common to see the rotating wave approximation andthe adiabatic approximation used "in cascade" to justify the use of chirped pulses for two-level qu…
Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems
Nicolas Augier, Ugo Boscain, Mario Sigalotti
We study one-parametric perturbations of finite dimensional real Hamiltonians depending on two controls, and we show that generically in the space of Hamiltonians, conical intersec…
On the compatibility between the adiabatic and the rotating wave approximations in quantum control
Nicolas Augier, Ugo Boscain, Mario Sigalotti
In this paper, we discuss the compatibility between the rotating-wave and the adiabatic approximations for controlled quantum systems. Although the paper focuses on applications to…