Designer Codes from GALA: Compact, Self-Dual, and Rate-1/2 QEC on Reconfigurable Atom Arrays
This research explores Group-Action Lifts (GALA) to design compact, self-dual quantum error correction codes for neutral-atom arrays. GALA codes combine a small non-abelian factor for high performance with a large abelian factor to enable hardware compatibility via atom movement schedules. This approach yields high rates and low logical error rates suitable for near-term quantum devices.