This is a theoretical project that addresses foundational aspects of quantum information processing with a focus on structural features of qudit systems. While much effort has been spent on investigating quantum state spaces, relatively little is known about the structure of quantum observables. The mathematical duality of states and observables provides a guarantee that whatever one learns about one side is relevant for the other, so that it is to be expected that studying structures of quantum observables will provide a new angle and open up new questions.

A three-year PhD scholarship within the field of quantum sensing is available at the Department of Physics at the Technical University of Denmark. The topic of the project is the theoretical and experimental investigation of a micro-cavity on a chip for the generation of quantum light to be used for sensing. The project is a part of an international collaboration with the Max-Planck institute for the science of light in Germany and Queensland University in Australia.