Efficient quantum algorithm for dissipative nonlinear differential equations JP Liu, HØ Kolden, HK Krovi, NF Loureiro, K Trivisa, AM Childs Proceedings of the National Academy of Sciences 118 (35), e2026805118, 2021 | 182 | 2021 |
High-precision quantum algorithms for partial differential equations AM Childs, JP Liu, A Ostrander Quantum 5, 574, 2021 | 154 | 2021 |
Quantum spectral methods for differential equations AM Childs, JP Liu Communications in Mathematical Physics, 375, 1427-1457 (2020), 2020 | 125 | 2020 |
Quantum-accelerated multilevel Monte Carlo methods for stochastic differential equations in mathematical finance D An, N Linden, JP Liu, A Montanaro, C Shao, J Wang Quantum 5, 481, 2021 | 66 | 2021 |
A theory of quantum differential equation solvers: limitations and fast-forwarding D An, JP Liu, D Wang, Q Zhao arXiv preprint arXiv:2211.05246, 2022 | 30 | 2022 |
Towards provably efficient quantum algorithms for large-scale machine-learning models J Liu, M Liu, JP Liu, Z Ye, Y Wang, Y Alexeev, J Eisert, L Jiang Nature Communications 15 (1), 434, 2024 | 25 | 2024 |
Linear combination of Hamiltonian simulation for nonunitary dynamics with optimal state preparation cost D An, JP Liu, L Lin Physical Review Letters 131 (15), 150603, 2023 | 22 | 2023 |
Quantum simulation of real-space dynamics AM Childs, J Leng, T Li, JP Liu, C Zhang Quantum 6, 860, 2022 | 22 | 2022 |
Efficient quantum algorithm for nonlinear reaction-diffusion equations and energy estimation D An, D Fang, S Jordan, JP Liu, GH Low, J Wang Communications in Mathematical Physics 404, 963-1020 (2023), 2023 | 16 | 2023 |
Quantum algorithms for sampling log-concave distributions and estimating normalizing constants AM Childs, T Li, JP Liu, C Wang, R Zhang Advances in Neural Information Processing Systems 35, 23205-23217, 2022 | 14 | 2022 |
New stepsizes for the gradient method C Sun, JP Liu Optimization Letters 14 (7), 1943-1955, 2020 | 7 | 2020 |
Solving generalized eigenvalue problems by ordinary differential equations on a quantum computer C Shao, JP Liu Proceedings of the Royal Society A 478 (2262), 20210797, 2022 | 5* | 2022 |
Dense outputs from quantum simulations JP Liu, L Lin Journal of Computational Physics, 113213, 2024 | 1 | 2024 |