Publications

Publications and Accepted Papers

Achieving double-logarithmic precision dependence in optimization-based quantum unstructured search
Zhijian Lai, Dong An, Jiang Hu, Zaiwen Wen.
Physical Review A 114(2), 022436, 2026.
JournalarXiv:2603.26039
Retraction-free optimization over the Stiefel manifold for the LoRA fine-tuning
Yuan Zhang, Jiang Hu, Zhijian Lai, Lin Lin, Zaiwen Wen.
IEEE Transactions on Pattern Analysis and Machine Intelligence, to appear, 2026.
arXiv:2607.25299
A Grover-compatible manifold optimization algorithm for quantum search
Zhijian Lai, Dong An, Jiang Hu, Zaiwen Wen.
SIAM Journal on Scientific Computing, to appear, 2026.
arXiv:2512.08432
Interpolation-based coordinate descent method for parameterized quantum circuits
Zhijian Lai, Jiang Hu, Taehee Ko, Jiayuan Wu, Dong An.
Communications Physics 9, 41, 2026.
JournalarXiv:2503.04620
Extended parameter-shift rules with minimal derivative variance for parameterized quantum circuits
Zhijian Lai, Jiang Hu, Dong An, Zaiwen Wen.
Physical Review Applied 25(1), 014005, 2026.
JournalarXiv:2508.08802
Hyperbolic contrastive learning for cross-domain recommendation
Xin Yang, Heng Chang, Zhijian Lai, Jinze Yang, Xingrun Li, Yu Lu, Shuaiqiang Wang, Dawei Yin, Erxue Min.
CIKM ’24: Proceedings of the 33rd ACM International Conference on Information and Knowledge Management, 2024.
DOI
Riemannian interior point methods for constrained optimization on manifolds
Zhijian Lai, Akiko Yoshise.
Journal of Optimization Theory and Applications 201(1), 433–469, 2024.
JournalarXiv:2203.09762
Completely positive factorization by a Riemannian smoothing method
Zhijian Lai, Akiko Yoshise.
Computational Optimization and Applications 83(3), 933–966, 2022.
JournalarXiv:2107.01538

Preprints

Pauli-structured preconditioning for quantum linear system solvers
Hantao Nie, Zhijian Lai, Dong An.
Preprint, 2026.
arXiv:2606.01733
Quantum circuit design from a retraction-based Riemannian optimization framework
Zhijian Lai, Hantao Nie, Jiayuan Wu, Dong An.
Preprint, 2026.
arXiv:2602.20605
Advancing mathematical research via human-AI interactive theorem proving
Chenyi Li, Zhijian Lai, Dong An, Jiang Hu, Zaiwen Wen.
Preprint, 2025.
arXiv:2512.09443

Thesis

Riemannian Optimization Algorithms for Applications and Their Theoretical Properties
Zhijian Lai.
PhD thesis, 2024.
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A New Method for Completely Positive Matrix Factorization
Zhijian Lai.
Master thesis, 2021.
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