Quantum states with special symmetries and their connections to various branches in mathematics - Hoan Bui Dang

In this talk we focus on two types of symmetric structures in Hilbert space, namely symmetric informationally-complete POVMs (also known as SIC states) and mutually unbiased bases (MUBs). Studies of their symmetries have not only led to applications in quantum information, but also revealed interesting connections to various branches in mathematics. We will specifically describe the connections to Galois field theory, and analytic theta functions.