被束�阱晶格手术的资源开销与可实现速率

我们给出了在空间分离的被束�阱表面代码之间实现容错晶格手术所需的离子数量的估计。此外，我们确定给定每个逻辑量子比特专用 "communication ions" 的数量后，可实现的晶格手术速率。由于我们的分析深深依赖于 syndrome 提取循环发生的速率，我们调查了当前的最新技术，并提出三种可能的循环时间，从 $10$ 到 $1000 \mu s$，只要满足某些技术里程碑即可实现。Consequently, our numerical results indicate that hundreds of resource ions will be needed for lattice surgery in the slowest case, while close to a hundred thousand will be needed in the fastest case. The main factor contributing to these prohibitive estimates is the limited rate that ions can be coupled across traps. Our results indicate an urgent need for optical coupling to improve by one or more orders of magnitude for trapped-ion quantum computers to scale.