New paths to creating and manipulating topologically protected degeneracies in quantum many-body states
A profound consequence of certain classes of topological quantum states of matter is the possibility of topologically protected degeneracies in the ground state spectrum of the system. No local operators can distinguish topologically degenerate states, allowing them to be particularly robust to decoherence. In this talk, I will discuss some new directions in creating, measuring, and manipulating topological degeneracies. This leads to potential new physical platforms for topological quantum computing such as in simple fractional quantum Hall states, and new protocols for realizing topologically protected universal gate sets.
Hosted by Mohammad Hafezi and Charles Clark.