Pour tout renseignement complémentaire, veuillez contacter les
organisateurs, Hakim
Boumaza, Mathieu
Lewin
ou Stéphane
Nonnenmacher.
| 14h - 15h |
Rémi Robin (Mines Paris) |
Stabilization of dissipative cat-qubits Abstract: A dynamically protected cat-qubit is an open quantum system that stabilizes a two-dimensional subspace (the code space) of a quantum harmonic oscillator, exhibiting promising robustness against noise. Experimental realizations of cat-qubits rely on quantum reservoir engineering, a method that involves coupling a high-quality cavity with a dissipative one. In this talk, after a brief introduction to the mathematics of open quantum systems, we will present a generalized LaSalle invariance principle to demonstrate the long-time convergence of any initial state towards the code space. This is a joint work with Lev-Arcady Sellem and Pierre Rouchon. |
| 15h15 - 16h15 | Mario Sigalotti (INRIA & Sorbonne U.) |
Schrödinger eigenfunctions sharing the same modulus and applications to the
control of quantum systems
Abstract: We present some considerations on the situation in which two eigenfunctions of a given Schrödinger operator have the same modulus despite being linearly independent. In particular, in the one-dimensional case, we show that this may happen only when the ambient manifold is a circle. Our motivation comes from the bilinear control of the Schrödinger equation, for which it has been shown in the works of Chambrion, Duca, Nersesyan, and Pozzoli that, under suitable saturation assumptions on the potentials of interaction, the system can be steered arbitrarily fast between wave functions having the same modulus. This is a joint work with Ugo Boscain and Kévin Le Balc'h. |