Architecture for fast implementation of qLDPC codes with optimized Rydberg gates

We propose an implementation of bivariate bicycle codes (Nature { 627}, 778 (2024)) based on long-range Rydberg gates between stationary neutral atom qubits. An optimized layout of data and ancilla qubits reduces the maximum Euclidean communication distance needed for non-local parity check operators. An optimized Rydberg gate pulse design enables CZ entangling operations with fidelity F>0.999 at a distance greater than 12~μ m. The combination of optimized layout and gate design leads to a quantum error correction cycle time of ~ 1.2~ ms for a $[[144,12,12]]$ code, an order of magnitude improvement over previous designs.