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~ 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.