Journées QUACO 2023

Liste des Contributions

2. Welcome speech

26/06/2023 10:30

1. Optimal control of quantum systems: Applications to the robust control of Bose-Einstein Condensates and to quantum speed limit with piecewise constant control

Etienne Dionnis

26/06/2023 11:00

See attached file

4. On the stability of the Schrödinger equation and applications to Quantum Control

Juan Manuel Perez Padro

26/06/2023 14:00

I will present a stability result for the non-autonomous Schrödinger equation that improves previously known results that date back to the 1970's. In particular, we have obtained a sharper bound for the estimates.
Based on these stability results I will present several applications to Quantum Control of infinite dimensional systems with possibly time-dependent domains for the operators.
This...

3. Controlling quantum systems by their boundaries

Aitor Balmaseda

26/06/2023 15:00

On this talk, the possibility of controlling quantum systems by means of boundary conditions will be addressed. We will present the problem of controlling the pure state of a quantum particle via boundary conditions using two examples: the case of a circuit-like space and the case of a potential well with moving walls.  For the first case, we show approximate controllability using as space of...

5. Controllability and weak conical connectedness of the spectrum for control-affine quantum systems

Ruikang Liang

26/06/2023 16:30

We explore the controllability of a closed control-affine quantum system driven by two external fields. The controllability properties of such a system are known to be closely related to its spectrum, seen as a function of the control. Previous studies have demonstrated that a spectrum connected by non-overlapping conical intersections yields exact controllability in the finite-dimensional...

6. Well-posedness and quasi-adiabatic control of the Schrödinger equation by deformations of the domain

Alessandro Duca

27/06/2023 09:30

Abstract: see attached file

7. Indirect Controllability of Two Interacting Qubits in the Presence of Dissipation: A First Analysis.

Kateryna Verzhanska

27/06/2023 11:00

We consider a bipartite open quantum system consisting of two interacting qubits, denoted by $A$ and $B$, respectively. We assume that qubit $A$ is coupled to the environment and is directly affected by coherent control, while qubit $B$ does not interact directly with the environment and the control fields. We are interested in the 
controllability properties of subsystem $B$.

We provide a...

8. Optimal control and selectivity of qubits in contact with a structured environment

Quentin Ansel

27/06/2023 14:00

This talk is devoted to the presentation of the results reported in Phys. Rev. A 106, 043702 (2022). In this article, we present a theoretical study of the optimal control of a qubit interacting with a structured environment. We consider a model system in which the bath is a bosonic reservoir at zero temperature and the qubit frequency is the only control parameter. Using optimal control...

10. Small-time global approximate controllability of bilinear wave equations

Eugenio Pozzoli

27/06/2023 15:00

In this talk we will consider a multi-input bilinear control problem for the wave equation on a torus of arbitrary dimension. We will see that the system is globally approximately controllable in arbitrarily small times, from any initial state with a finite number of active modes. We will also discuss the control strategy, which is explicit, and based on a small-time limit of conjugated...

9. Discussion and conclusion