AI 中文总结
本文提出频域反演与时域拟合的实时磁通失真补偿方法，采用IIR/FIR混合滤波器在FPGA上实现1.2GSa/s处理，达到99.57%保真度，资源扩展近似对数增长，为动态超导量子电路提供可扩展硬件基础。
AI 中文摘要
实时波形生成支持动态量子电路，无需为每条执行路径预存完整波形。然而，磁通控制线路中的长寿命失真会降低门保真度，需要根据实际脉冲历史进行补偿。本文提出了一种频域反演与时域拟合方法，用于资源高效的实时磁通失真补偿。该方法将重建的补偿冲激响应拟合为紧凑的混合无限冲激响应（IIR）与有限冲激响应（FIR）滤波器。前视并行化使该滤波器能够在现场可编程门阵列（FPGA）上以1.2GSa/s的速度处理合成波形。双量子比特交叉熵基准测试表明，实时IIR滤波实现了中位受控-Z泡利保真度，接近软件参考值99.57%。数值分析和FPGA综合表明，硬件资源使用量随补偿时间尺度呈近似对数增长。将补偿从微秒扩展到百微秒时间尺度，查找表（LUT）和数字信号处理（DSP）资源使用量仅分别增加约14%和4%，同时保持相对算术误差低于$10^{-4}$。这项工作为动态超导量子电路中的高保真磁通控制提供了可扩展的硬件基础。
英文摘要
Real-time waveform generation supports dynamic quantum circuits without pre-storing complete waveforms for every execution path. However, long-lived distortions in flux-control lines degrade gate fidelity, requiring compensation to account for the actual pulse history. A frequency-domain inversion and time-domain fitting method is proposed for resource-efficient real-time flux distortion compensation. The method fits the reconstructed compensation impulse response with a compact hybrid infinite impulse response (IIR) and finite impulse response (FIR) filter. Look-ahead parallelization enables this filter to process synthesized waveforms at 1.2GSa/s on a field-programmable gate array (FPGA). Two-qubit cross-entropy benchmarking shows that real-time IIR filtering achieves a median controlled-Z Pauli fidelity close to the software-reference value of 99.57%. Numerical analysis and FPGA synthesis indicate approximately logarithmic growth in hardware resource use with compensation timescale. Extending compensation from microsecond to hundred-microsecond timescales increases look-up table (LUT) and digital signal processing (DSP) resource use by only about 14% and 4%, respectively, while maintaining a relative arithmetic error below $10^{-4}$. This work provides a scalable hardware foundation for high-fidelity flux control in dynamic superconducting quantum circuits.
Comments17 pages, 9 figures
