Quantum control in chemistry

Ignacio R. Sola

This is a set of detailed notes that are part of a Ph.D. Course on Quantum Control delivered at the Department of Chemistry of Seoul National University in 2014. Part of this course was also taught in the Department of Chemistry of the Friedrich Schiller University Jena. It focuses on quantum optimal control and quantum optimal control algorithms based on the gradient and extended gradient methods.

de Araújo, E Luis Eduardo

Dimitrios Charalambidis, Natalia E. Karapanagioti, D. Xenakis +8 more

Navin Khaneja

Control and manipulation of quantum mechanical systems using electromagnetic fields is a widely studied subject in areas of physics and chemistry, including spectroscopy, atomic molecular, and optical physics, and quantum chemistry.This article attempts to provide a glimpse into the rich class of bilinear control systems that are ubiquitous in these problems.In this article, we use control of spin systems in magnetic resonance as a model system to highlight characteristic feature of problems in quantum control.Background information is provided to enable the reader to appreciate new results and developments, where principled use of ideas from control theory have provided new insights into finding optimal ways to control and manipulate quantum mechanical systems.The study of deterministic and stochastic models that arise in problems in measurement and manipulation of quantum mechanical systems may foster new developments in control.

Domenico D'Alessandro

In this chapter, we discuss some more tools for the control of quantum systems. Some of these are commonly considered in the physics and chemistry literature. Some others, like the Lyapunov control method, have been very well studied in the control literature and have then been extended to quantum systems.