Workshop 2025: Bloch-ball type representation of two-party composite systems with different local dimensions

Session Information

Location: Lecture room F3213 - 17
Day: Wednesday, 14 May
Time: 18:00 - 19:00
Chairperson: -

Presentation Details

Presentation Type: Poster presentation
Title: Bloch-ball type representation of two-party composite systems with different local dimensions
Abstract: The Bloch representation is a mathematical description of quantum-mechanical density operators in terms of a matrix basis and is a powerful but far from fully developed tool to solve quantum mechanics problems. Its meaning is deeply connected with geometry, and therefore, its concepts are sensitive to geometric intuition. In only a few years, new methods have
been presented to adequately visualize higher-dimensional state spaces, such as the Bloch-sphere analog of a three-level system (qutrit) or a four-level system (ququart), and that of bipartite systems. There is a lot of potential for further research; in particular, these investigations of bipartite systems are fundamental to the understanding of which quantum correlations are possible and which are not. The central theme of this project is to study two-party systems of different local dimensions. While we kind of know the complete solution for equal local dimensions, it is logical that this case will have different geometrical properties, so it requires a precise analysis. The results of the project will open the possibility to, in the future, study multi-party systems, which are of tremendous importance, and extend this research to a variety of physics applications.

Presenter

Mr Mario Pérez Diego
Spain | Spain

Authors

1. Mario Pérez Diego | University of the Basque Country (UPV/EHU)
2. Jens Siewert | University of the Basque Country and IKERBASQUE