发表机构
PsiQuantum（PsiQuantum）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对二维费米-哈伯德模型基态能量估计算法提出主动体积感知编译方案，可降低$L=4$至20的方形晶格主动体积，还优化了Toffoli门计数，凸显架构感知编译对早期容错量子计算的重要性。
AI 中文摘要
随着量子计算进入早期容错时代，电路编译选择将越来越依赖底层架构的细节，而非仅针对非克利福德门计数等通用代理进行优化。我们提出了一种针对二维费米-哈伯德模型基态能量估计算法的主动体积感知编译方案，该方案结合量子相位估计与 Trotter 化时间演化。所提编译方案可降低 $L\times L$ 方形晶格（$L=4$ 至 $20$）的主动体积，较此前针对非克利福德成本优化的工作实现了最高 $3.9$ 倍的主动体积缩减。作为这些编译改进的附带成果，生成的电路还达到了最先进的 Toffoli 门计数，其中 $L=20$ 的情况实现了约 $2$ 倍的缩减。最后，主动体积架构与近期的执行调度进展提供了将这些缩减趋势转化为运行时间的手段。这表明，架构感知编译对于实用的早期容错量子计算正变得愈发重要。
英文摘要
As quantum computing enters the early fault-tolerant era, circuit compilation choices will increasingly depend on details of the underlying architecture rather than solely optimizing for generic proxies such as non-Clifford count. We present an active-volume-aware compilation of the ground-state energy estimation algorithm for the two-dimensional Fermi-Hubbard model using quantum phase estimation and Trotterized time evolution. The proposed compilation reduces the active volume across $L\times L$ square lattices with $L=4$ to $20$, achieving up to a $3.9\times$ reduction over prior work optimized for non-Clifford cost. As a by-product of these compilation improvements, the resulting circuits also achieve state-of-the-art Toffoli counts, with a ~$2\times$ reduction for the $L=20$ case. Lastly, the active volume architecture and recent execution scheduling advances provide a means of translating these reduction trends into runtime. This demonstrates the increasing importance of architecture-aware compilation for practical early fault-tolerant quantum computing.
Comments57 pages, v2 (open source code link added)
