Jin-Peng Liu

Childs, A. M., Liu, J.-P. ., & Ostrander, A. . (2021). High-precision quantum algorithms for partial differential equations. Quantum 5, 574, 5. http://doi.org/10.22331/q-2021-11-10-574 (Original work published November 2021)

An, D. ., Linden, N. ., Liu, J.-P. ., Montanaro, A. ., Shao, C. ., & Wang, J. . (2021). Quantum-accelerated multilevel Monte Carlo methods for stochastic differential equations in mathematical finance. Quantum, 5, 481. http://doi.org/10.22331/q-2021-06-24-481 (Original work published June 2021)

Liu, J.-P. ., Kolden, H. ., Krovi, H. ., Loureiro, N. ., Trivisa, K. ., & Childs, A. M. (2021). Efficient quantum algorithm for dissipative nonlinear differential equations. Proceedings of the National Academy of Sciences, 118. http://doi.org/10.1073/pnas.2026805118 (Original work published March 2021)

Shao, C. ., & Liu, J.-P. . (2020). Quantum algorithms for the polynomial eigenvalue problems. ArXiv. Retrieved from https://arxiv.org/abs/2010.15027 (Original work published October 2020)

Childs, A. M., & Liu, J.-P. . (2020). Quantum spectral methods for differential equations. Commun. Math. Phys., 375, 1427–1457. http://doi.org/10.1007/s00220-020-03699-z (Original work published February 2020)

Sun, C. ., & Liu, J.-P. . (2019). New stepsizes for the gradient method. Optim Lett. http://doi.org/10.1007/s11590-019-01512-y (Original work published January 2019)

An, D. ., Fang, D. ., Jordan, S. ., Liu, J.-P. ., Low, G. ., & Wang, J. . (2022). Efficient quantum algorithm for nonlinear reaction-diffusion equations and energy estimation. ArXiv. http://doi.org/10.48550/arxiv.2205.01141 (Original work published May 2022)

An, D. ., Liu, J.-P. ., Wang, D. ., & Zhao, Q. . (2022). A theory of quantum differential equation solvers: limitations and fast-forwarding. ArXiv. http://doi.org/10.48550/arxiv.2211.05246 (Original work published November 2022)

An, D. ., Liu, J.-P. ., & Lin, L. . (2023). Linear combination of Hamiltonian simulation for nonunitary dynamics with optimal state preparation cost. ArXiv. http://doi.org/10.48550/arxiv.2303.01029 (Original work published March 2023)

Childs, A. M., Leng, J. ., Li, T. ., Liu, J.-P. ., & Zhang, C. . (2022). Quantum simulation of real-space dynamics. Quantum, 6, 860. http://doi.org/10.22331/q-2022-11-17-860 (Original work published November 2022)