Architecture for fast implementation of qLDPC codes with optimized Rydberg gates

TL;DR

This paper presents an optimized architecture for implementing qLDPC codes using long-range Rydberg gates, achieving high-fidelity entangling operations and significantly reducing error correction cycle times.

Contribution

It introduces an optimized layout and gate pulse design for Rydberg-based neutral atom qubits, enabling faster and more reliable quantum error correction cycles.

Findings

Achieves >0.999 fidelity for CZ gates over 12 μm distance.

Reduces quantum error correction cycle time to approximately 1.28 ms.

Nearly doubles the speed compared to previous implementations.

Abstract

We propose an implementation of bivariate bicycle codes (Nature {\bf 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 $\sf CZ$ entangling operations with fidelity ${\mathcal F}>0.999$ at a distance greater than $12~\mu\rm m$. The combination of optimized layout and gate design leads to a quantum error correction cycle time of $\sim 1.28~\rm ms$ for a $[[144,12,12]]$ code, nearly a factor of two improvement over previous designs.