Speaker
Description
Symmetries play a fundamental role in physics: from conservation laws and the unification of different theories to the simplification of complex problems to tractable ones. They are an indispensable tool and continue to be a driving force in research. This talk explores two topics from Quantum Information Science that places symmetry, and
therefore group theory, in the spotlight. First, the topic of unitary designs, which are essential tools in several quantum information protocols. Designs are mainly used to facilitate averaging over a relevant space, in this case, the group U(d). Secondly, the topic of symmetric state extensions, which captures a famous property of quantum correlations: that they cannot be shared symmetrically between arbitrary parties. This topic will be explored through the highly symmetric Werner and OO quantum states.
