Precision and resource scaling of real-time flux distortion compensation for superconducting quantum control
Abstract
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.
Related
- Scaling Alternating-Bias-Assisted Annealing for Precision Transmon Frequency Targeting on Superconducting Quantum Processors
- Scaling laws for contamination traversal times during vacuum breaks in superconducting accelerators
- Flux Crosstalk Calibration from Zero Knowledge to High Precision in Fully Tunable Superconducting Circuits
- Improving precision scaling via backaction-evading continuous measurement in a driven-dissipative Kerr parametric oscillator
- Prediction Accuracy Can Select the Scaling Law of Required Precision
BibTeX
@misc{zhou2026precision,
title = {{Precision and resource scaling of real-time flux distortion compensation for superconducting quantum control}},
author = {Qi Zhou and Zi-Hao Mei and Peng Duan and Peng Wang and Liang-Liang Guo and Hao-Ran Tao and Wei-Cheng Kong and Hui Yang and Guo-Ping Guo and Zhao-Yun Chen},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.27456},
eprint = {2609.27456},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.27456},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Precision and resource scaling of real-time flux distortion compensation for superconducting quantum control
AU - Qi Zhou
AU - Zi-Hao Mei
AU - Peng Duan
AU - Peng Wang
AU - Liang-Liang Guo
AU - Hao-Ran Tao
AU - Wei-Cheng Kong
AU - Hui Yang
AU - Guo-Ping Guo
AU - Zhao-Yun Chen
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2609.27456
UR - https://arxiv.org/abs/2609.27456
AB - 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.
ER -