Pecorari Laura, Jandura Sven, Brennen Gavin K, Pupillo Guido
University of Strasbourg and CNRS, CESQ and ISIS (UMR 7006), aQCess, 67000, Strasbourg, France.
Center for Engineered Quantum Systems, School of Mathematical and Physical Sciences, Macquarie University, Macquarie Park, 2109, NSW, Australia.
Nat Commun. 2025 Jan 28;16(1):1111. doi: 10.1038/s41467-025-56255-5.
High-rate quantum error correcting (QEC) codes with moderate overheads in qubit number and control complexity are highly desirable for achieving fault-tolerant quantum computing. Recently, quantum error correction has experienced significant progress both in code development and experimental realizations, with neutral atom qubit architecture rapidly establishing itself as a leading platform in the field. Scalable quantum computing will require processing with QEC codes that have low qubit overhead and large error suppression, and while such codes do exist, they involve a degree of non-locality that has yet to be integrated into experimental platforms. In this work, we analyze a family of high-rate Low-Density Parity-Check (LDPC) codes with limited long-range interactions and outline a near-term implementation in neutral atom registers. By means of circuit-level simulations, we find that these codes outperform surface codes in all respects when the two-qubit nearest neighbour gate error probability is below ~ 0.1%. By using multiple laser colors, we show how these codes can be natively integrated in two-dimensional static neutral atom qubit architectures with open boundaries, where the desired long-range connectivity can be targeted via the Rydberg blockade interaction.
具有适度量子比特数量开销和控制复杂度的高速量子纠错（QEC）码对于实现容错量子计算非常重要。最近，量子纠错在码的开发和实验实现方面都取得了重大进展，中性原子量子比特架构迅速成为该领域的领先平台。可扩展的量子计算需要使用具有低量子比特开销和大错误抑制能力的QEC码进行处理，虽然这样的码确实存在，但它们涉及一定程度的非局域性，尚未集成到实验平台中。在这项工作中，我们分析了一类具有有限长程相互作用的高速低密度奇偶校验（LDPC）码，并概述了在中性原子寄存器中的近期实现。通过电路级模拟，我们发现当两比特最近邻门错误概率低于约0.1%时，这些码在所有方面都优于表面码。通过使用多种激光颜色，我们展示了这些码如何能够原生集成到具有开放边界的二维静态中性原子量子比特架构中，其中所需的长程连接性可以通过里德堡阻塞相互作用来实现。
