Dynamic codes and quantum computation

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 "evolve" the instantaneous code in time. I will explain how varying the measurement pattern can lead to the implementation of logical gates. Thus, in dynamic codes, the low-weight measurements varying in time can be used to generate the code, implement logical gates, and detect errors. Time permitting, I will also discuss preliminary results on completing the universal gate set in purely two dimensions in copies of toric/surface code, which involves transient fault-tolerant switching to a non-abelian quantum double model.

Margarita is currently a graduate student at MIT advised by Liang Fu, and will join Caltech as a Walter Burke postdoctoral fellow in fall 2023. She works in both condensed matter theory and quantum information. Within quantum information, her interests include dynamic quantum error correction and physics-inspired approaches to quantum computation with qLDPC codes, as well as applications of quantum information tools to quantum many-body systems.