The existence of topological phases, in which insensitivity to all local perturbations emerges at low-temperatures, is one of the remarkable occurrences in nature. Their mathematical description by topological quantum field theories and their connections knot theory and low-dimensional topology is an equally remarkable mathematical development. Yet another motivation for their study stems from the promise which they hold for scalable fault-tolerant quantum computing. The goal of this program is to explore the mathematical and physical issues associated with discovering or engineering a topological state of matter which can be used for universal quantum computation.
(Microsoft Research, Mathematics)
Chetan Nayak (Microsoft Station Q, UCLA Physics)
Zhenghan Wang (Microsoft Research)