David Tinoco
I am currently a PhD student at Inria, supervised by Jean-Baptiste Caillau and Ivan Beschastnyi. My research topic is in quantum control theory, with a focus on nearly optimal pulse control of quantum systems. The aim of this project is to develop both theoretical and numerical methods for the fast and efficient manipulation of quantum systems, which are known to be highly sensitive to noise and decoherence.
Intervention
Quantum technologies exploit small-scale systems to advance computation, communication, and metrology. In this work we develop theory and algorithms for optimal pulse control using indirect methods based on Pontryagin maximum principle. Simulations and numerical solution are obtained by means of the Julia package OptimalControl.jl to couple direct and indirect methods. We also use Julia to implement efficient algorithms to generate the free Lie algebra in the Hall basis to assess controllability of quantum systems.