标题： 基于现场可编程门阵列的多体计算 显示英文标题

标题： Many-body computing on Field Programmable Gate Arrays

摘要： 一种新的多体计算实现对于计算物理领域具有至关重要的意义。 在本研究中，我们利用现场可编程门阵列（FPGAs）的能力来进行量子多体计算。 通过设计适用于蒙特卡洛和张量网络方法的适当方案，我们有效地利用了FPGAs提供的并行处理能力。 这使得蒙特卡洛算法的计算速度相比基于CPU的计算提高了十倍。 通过使用超晶胞结构并在CPU上使用高级综合技术模拟FPGA架构，我们实现了$O(1)$的缩放，无论整体系统大小如何，单次扫描的时间都保持线性增长。 我们首次展示了利用FPGA加速典型张量网络算法用于多体基态计算的可行性。 此外，我们表明当前的FPGA计算加速能力与多线程GPU并行处理相当。 我们的研究结果明确突显了硬件实现的重要优势，并为多体计算的新方法铺平了道路。 显示英文摘要

摘要： A new implementation of many-body calculations is of paramount importance in the field of computational physics. In this study, we leverage the capabilities of Field Programmable Gate Arrays (FPGAs) for conducting quantum many-body calculations. Through the design of appropriate schemes for Monte Carlo and tensor network methods, we effectively utilize the parallel processing capabilities provided by FPGAs. This has resulted in a tenfold speedup compared to CPU-based computation for a Monte Carlo algorithm. By using a supercell structure and simulating the FPGA architecture on a CPU with High-Level Synthesis, we achieve $O(1)$ scaling for the time of one sweep, regardless of the overall system size. We also demonstrate, for the first time, the utilization of FPGA to accelerate a typical tensor network algorithm for many-body ground state calculations. Additionally, we show that the current FPGA computing acceleration is on par with that of multi-threaded GPU parallel processing. Our findings unambiguously highlight the significant advantages of hardware implementation and pave the way for novel approaches to many-body calculations.