Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
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 …
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 …
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
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 …
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 …
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
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 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 …
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 …
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
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 …
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 …
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 …
boundary conditions and bilinear scalar control. The small-time local exact controllability …