I will review the concept of Floquet quantum error-correcting codes, and, more generally, dynamic codes. These codes are defined through sequences of low-weight measurements that change the instantaneous code in time and enable error correction. Â I will explain a few viewpoints on these codes, including state teleportation and anyon condensation, and will explain how to implement gates purely by adjusting the sequences of low-weight measurement. This method constitutes arguably the most natural way to perform quantum computation with dynamic codes that we have thus far. I will also try to present the big picture of dynamic quantum error correction and will touch on ongoing work on fault-tolerant non-Clifford gates in copies of (2+1)D toric code achieved by transiently switching to a non-abelian topologically ordered phase. This presents a new take on the challenge of performing universal fault-tolerant quantum computation in two spatial dimensions.
*We strongly encourage attendees to use their full name (and if possible, their UMD credentials) to join the zoom session.*
(Please note the time change for this talk. Â This talk will not be recorded.)