@article{multigateresiduals,
  title = {Multi-Gate Residuals},
  author = {Zhizhan Zheng and Feiyun Zhang and Shuchun Liu and Tian Xia and Xi Liu and Dasheng Hu and Hongquan Zhou},
  year = {2026},
  eprint = {2605.23259},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.23259},
}