Quantum spectral methods for differential equations. - Andrew M. Childs; Jin-Peng Liu (CoRR, 2019)

Quantum algorithms for the polynomial eigenvalue problems. - Changpeng Shao; Jin-Peng Liu (CoRR, 2020)

New stepsizes for the gradient method. - Cong Sun 002; Jin-Peng Liu (Optim. Lett., 2020)

Efficient quantum algorithm for dissipative nonlinear differential equations. - Jin-Peng Liu; Herman Øie Kolden; Hari K. Krovi; Nuno F. Loureiro; Konstantina Trivisa; Andrew M. Childs (Proc. Natl. Acad. Sci. USA, 2021)

Quantum-accelerated multilevel Monte Carlo methods for stochastic differential equations in mathematical finance. - Dong An; Noah Linden; Jin-Peng Liu; Ashley Montanaro; Changpeng Shao; Jiasu Wang (Quantum, 2021)

High-precision quantum algorithms for partial differential equations. - Andrew M. Childs; Jin-Peng Liu; Aaron Ostrander (Quantum, 2021)

Quantum Algorithms for Sampling Log-Concave Distributions and Estimating Normalizing Constants. - Andrew M. Childs; Tongyang Li; Jin-Peng Liu; Chunhao Wang; Ruizhe Zhang 001 (NeurIPS, 2022)

Efficient quantum algorithm for nonlinear reaction-diffusion equations and energy estimation. - Dong An; Di Fang 003; Stephen Jordan; Jin-Peng Liu; Guang Hao Low; Jiasu Wang (CoRR, 2022)

A theory of quantum differential equation solvers: limitations and fast-forwarding. - Dong An; Jin-Peng Liu; Daochen Wang; Qi Zhao (CoRR, 2022)

Escaping From Saddle Points Using Asynchronous Coordinate Gradient Descent. - Marco Bornstein; Jin-Peng Liu; Jingling Li; Furong Huang (CoRR, 2022)

Quantum simulation of real-space dynamics. - Andrew M. Childs; Jiaqi Leng; Tongyang Li; Jin-Peng Liu; Chenyi Zhang 003 (Quantum, 2022)

Linear combination of Hamiltonian simulation for non-unitary dynamics with optimal state preparation cost. - Dong An; Jin-Peng Liu; Lin Lin 001 (CoRR, 2023)

Towards provably efficient quantum algorithms for large-scale machine-learning models. - Junyu Liu; Minzhao Liu; Jin-Peng Liu; Ziyu Ye; Yuri Alexeev; Jens Eisert; Liang Jiang (CoRR, 2023)

Dense outputs from quantum simulations. - Jin-Peng Liu; Lin Lin 001 (CoRR, 2023)

Toward end-to-end quantum simulation for protein dynamics. - Zhenning Liu; Xiantao Li; Chunhao Wang; Jin-Peng Liu (CoRR, 2024)

Dense outputs from quantum simulations. - Jin-Peng Liu; Lin Lin (J. Comput. Phys., 2024)

Explicit block encodings of boundary value problems for many-body elliptic operators. - Tyler Kharazi; Ahmad M. Alkadri; Jin-Peng Liu; Kranthi K. Mandadapu; K. Birgitta Whaley (Quantum, 2025)

Towards efficient quantum algorithms for diffusion probability models. - Yunfei Wang; Ruoxi Jiang; Yingda Fan; Xiaowei Jia; Jens Eisert; Junyu Liu; Jin-Peng Liu (CoRR, 2025)

Infinite-dimensional Extension of the Linear Combination of Hamiltonian Simulation: Theorems and Applications. - Rundi Lu; Hao-En Li; Zhengwei Liu; Jin-Peng Liu (CoRR, 2025)