Quantum information science is a broad field and is based on the laws of quantum mechanics. It has made a big development both in theory and experiment in recent years. This activity focuses on the mathematical foundations and applications in quantum information. In particular, operator algebra and representation theory play important roles.

The topics involve the following.
 

The picture language project, including the charged string languages, quon language, etc.

Topics in representation theory of Lie algebra and homotopy theory.

Topics in subfactors and topological quantum field theories.

Introduction to some new higher mathematics.

Applications of combinatorics in quantum information theory.

Problems related to error correction and symmetries.