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Architecture for fast implementation of quantum low-density parity-check codes with optimized Rydberg gates

C. Poole, T. M. Graham, M. Perlin, M. Otten, M. Saffman·April 29, 2024·DOI: 10.1103/PhysRevA.111.022433
Physics

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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.

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