Complete the following questionnaire for - IC2023_02 PhD in Bloch representation and correlations in finite-dimensional quantum systems  (207 KB)

Quantum correlations are at the heart of the physics of composite systems. Entanglement arguably is the most striking - and at the same time most well-known - type of quantum correlations. In this PhD project, we aim at new mathematical results for the correlation properties of quantum states by studying the structure of the quantum mechanical state space from a geometrical point of view. Our objective is the development of intuitive concepts for the geometry of the state space, as well as of the measurements, along with the mathematical methods to formally describe the latter, the so-called generalized Bloch representation, which will lead to new insight into the elements of entanglement and correlation theory from an entirely different perspective and thus open the path to a deeper understanding of the principles governing quantum-mechanical correlations.