About

I work on the optimal control of (open) quantum systems and its applications to quantum computing. This work is carried out under the supervision of Emmanuel Franck (INRIA) and Yannick Privat (IECL). We closely collaborate with the group of physicists Q-Dyno at IPCMS.

Research project in a nutshell

We aim to develop numerical methods suited to the control of non-isolated discrete quantum systems modelled by the GKS-Lindblad equation. We are especially interested in qudits, an alternative to the quantum analogue of ‘bits’ in classical computing.

An example of such control problem relates to running algorithms on a quantum computer. Given a quantum algorithm, we study and estimate numerically the optimal experimental setup driving qudits from an the “input” logical value to the desired “output” logicial value. Here, optimal means running the algorithm as accurately and quickly as possible.

Brief interactive introduction to this matter.

What makes this task challenging? Mathematically it is about non-linear control theory. Numerically, it is about optimizing a criterion which depends upon exponentially many variables.