Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

CP Koch, U Boscain, T Calarco, G Dirr… - EPJ Quantum …, 2022 - epjqt.epj.org
Quantum optimal control, a toolbox for devising and implementing the shapes of external
fields that accomplish given tasks in the operation of a quantum device in the best way …

Small-time bilinear control of Schrödinger equations with application to rotating linear molecules

T Chambrion, E Pozzoli - Automatica, 2023 - Elsevier
Abstract In Duca and Nersesyan (2023), a small-time controllability property of nonlinear
Schrödinger equations is proved on a d-dimensional torus T d. In this paper we study a …

Small-Time Controllability for the Nonlinear Schrödinger Equation on via Bilinear Electromagnetic Fields

A Duca, E Pozzoli - SIAM Journal on Control and Optimization, 2024 - SIAM
We address the small-time controllability problem for a nonlinear Schrödinger equation on in
the presence of magnetic and electric external fields. We choose a particular framework …

An example of a small-time globally approximately controllable bilinear Schr\" odinger equation

K Beauchard, E Pozzoli - arXiv preprint arXiv:2407.05698, 2024 - arxiv.org
A variety of physically relevant bilinear Schr\" odinger equations are known to be globally
approximately controllable in large times. There are however examples which are globally …

On the global approximate controllability in small time of semiclassical 1-D Schrödinger equations between two states with positive quantum densities

JM Coron, S Xiang, P Zhang - Journal of Differential Equations, 2023 - Elsevier
In this paper, we study, in the semiclassical sense, the global approximate controllability in
small time of the quantum density and quantum momentum of the 1-D semiclassical cubic …

Small-time local controllability of the bilinear Schr\" odinger equation, despite a quadratic obstruction, thanks to a cubic term

M Bournissou - arXiv preprint arXiv:2203.03955, 2022 - arxiv.org
We consider a 1D linear Schr {\" o} dinger equation, on a bounded interval, with Dirichlet
boundary conditions and bilinear control. We study its controllability around the ground state …

Local exact controllability of the 1D nonlinear Schr\" odinger equation in the case of Dirichlet boundary conditions

A Duca, V Nersesyan - arXiv preprint arXiv:2202.08723, 2022 - arxiv.org
We consider the 1D nonlinear Schr\" odinger equation with bilinear control. In the case of
Neumann boundary conditions, local exact controllability of this equation near the ground …

On the small-time bilinear control of a nonlinear heat equation: global approximate controllability and exact controllability to trajectories

A Duca, E Pozzoli, C Urbani - arXiv preprint arXiv:2407.10521, 2024 - arxiv.org
In this work we analyse the small-time reachability properties of a nonlinear parabolic
equation, by means of a bilinear control, posed on a torus of arbitrary dimension $ d …

[HTML][HTML] Small-time global approximate controllability of bilinear wave equations

E Pozzoli - Journal of Differential Equations, 2024 - Elsevier
In this paper we show that bilinear wave equations (on a torus of arbitrary dimension) are
globally approximately controllable in any positive time, when the initial state of the system …

Local controllability of the bilinear 1D Schr {\" o} dinger equation with simultaneous estimates

M Bournissou - arXiv preprint arXiv:2107.08817, 2021 - arxiv.org
We consider the 1D linear Schr {\" o} dinger equation, on a bounded interval, with Dirichlet
boundary conditions and bilinear scalar control. The small-time local exact controllability …