1. Research
  2. Publications

Publications

Export 10 results:
Author Title [ Type(Desc)] Year
Filters: Author is Jin-Peng Liu  [Clear All Filters]
Journal Article
J. - P. Liu, Kolden, H. Øie, Krovi, H. K., Loureiro, N. F., Trivisa, K., and Childs, A. M., “Efficient quantum algorithm for dissipative nonlinear differential equations”, Proceedings of the National Academy of Sciences, vol. 118, 2021.
D. An, Fang, D., Jordan, S., Liu, J. - P., Low, G. Hao, and Wang, J., “Efficient quantum algorithm for nonlinear reaction-diffusion equations and energy estimation”, 2022.
A. M. Childs, Liu, J. - P., and Ostrander, A., “High-precision quantum algorithms for partial differential equations”, Quantum 5, 574, vol. 5, no. 574, 2021.
D. An, Liu, J. - P., and Lin, L., “Linear combination of Hamiltonian simulation for non-unitary dynamics with optimal state preparation cost”, Phys. Rev. Lett., vol. 131, no. 150603, 2023.
C. Sun and Liu, J. - P., “New stepsizes for the gradient method”, Optim Lett , 2019.
C. Shao and Liu, J. - P., “Quantum algorithms for the polynomial eigenvalue problems”, 2020.
A. M. Childs, Leng, J., Li, T., Liu, J. - P., and Zhang, C., “Quantum simulation of real-space dynamics”, Quantum, vol. 6, p. 860, 2022.
A. M. Childs and Liu, J. - P., “Quantum spectral methods for differential equations”, Commun. Math. Phys. , vol. 375, pp. 1427-1457, 2020.
D. An, Linden, N., Liu, J. - P., Montanaro, A., Shao, C., and Wang, J., “Quantum-accelerated multilevel Monte Carlo methods for stochastic differential equations in mathematical finance”, Quantum 5, 481 (2021), vol. 5, p. 481, 2021.
D. An, Liu, J. - P., Wang, D., and Zhao, Q., “A theory of quantum differential equation solvers: limitations and fast-forwarding”, 2023.