Abstract: Quantum technologies is a relatively new field of science in the intersection of physics, engineer-
ing and mathematics. It promises to revolutionise many fields such as computation, communication
and metrology by exploiting unique properties of small-scale physical systems. It is known that
such systems are extremely difficult to manipulate due to their high sensitivity to external noises,
making them for many practical purposes quiet short-lived physical objects. For this reason time
factor becomes crucial. The goal of this project is to develop a general theory and algorithms
for optimal control of quantum systems via pulse controls, which is currently the fastest way of
controlling many real-world quantum systems.
Education
MSc in Mathematics and Applications
University of Aveiro
Thesis Abstract: Reactive Graphs, introduced by Dov Gabbay, are transition structures that evolve along its execution. These structures are suitable to compactly represent complex reactive and reconfigurable behaviors. Variations of this type of reconfigurable structures have been explored within the scientific community. However, their impact in the context of specific domain applications remains underexplored. A potential barrier to their widespread adoption among communities less familiar with the formal specification of systems and logics could be the absence of computational support for analyzing such models. This dissertation aims to overcome these gaps by studying the generalization of the Labelled Transition System (LTS) to a dynamic structure called the Labelled Reactive Graph (LRG), building on the theory already developed in the literature for LTS. A new product is introduced, the intrusive product, which allows for the addition of intrusive edges between models to enable their mutual reconfiguration. Additionally, a Hennessy-Milner Logic is presented to specify and verify properties of these models. The dissertation introduces with the implementation of Marge, a web-based tool designed to visualize and animate reactive graphs, perform products, and verify the existence of some properties.'