Studying topological order through quantum coding theory

Beni Yoshida, MIT.

Abstract: Why topological order is not stable at non-zero temperature? Why topological entanglement in degenerate ground states leads to non-trivial braiding properties between anyonic excitations? In this talk, I address these fundamental questions in studies of topological order by using quantum coding theory. The talk is aimed at non-experts in the field, providing an introduction to quantum coding theory and giving some perspectives on an intriguing connection between quantum codes and topological order. No prior knowledge on quantum coding theory is required.