# Publications

# Preprints

- J. Aftab, D. An, and K. Trivisa. Multi-product Hamiltonian simulation with explicit commutator scaling. [arXiv:2403.08922] (TQC talk 2024)
- P. C. S. Costa, D. An, R. Babbush, and D. W. Berry. The discrete adiabatic quantum linear system solver has lower constant factors than the randomized adiabatic solver. [arXiv:2312.07690]
- D. An, A. M. Childs, and L. Lin. Quantum algorithm for linear non-unitary dynamics with near-optimal dependence on all parameters. [arXiv:2312.03916]
- D. An, and K. Trivisa. Quantum algorithms for linear and non-linear fractional reaction-diffusion equations. [arXiv:2310.18900]
- D. An, J. Liu, D. Wang, and Q. Zhao. A theory of quantum differential equation solvers: limitations and fast-forwarding. [arXiv:2211.05246]

# Peer-reviewed papers

- J. Liu, D. An, D. Fang, J. Wang, G. Low, and S. Jordan. Efficient quantum algorithm for nonlinear reaction-diffusion equations and energy estimation.
*Communications in Mathematical Physics*404, 963â€“1020, 2023. [doi][arXiv] - D. An, J. Liu, and L. Lin. Linear combination of Hamiltonian simulation for nonunitary dynamics with optimal state preparation cost.
*Physical Review Letters*131, 150603, 2023. [doi][arXiv] (QIP talk 2024) - P. C. S. Costa, D. An, Y. R. Sanders, Y. Su, R. Babbush, and D. W. Berry. Optimal scaling quantum linear systems solver via discrete adiabatic theorem.
*PRX Quantum*3 (4), 040303, 2022. [doi][arXiv] (QIP talk 2022) - D. An, L. Lin, and M. Lindsey. Towards sharp error analysis of extended Lagrangian molecular dynamics.
*Journal of Computational Physics*466, 111403, 2022. [doi][arXiv] - D. An, D. Fang, and L. Lin. Time-dependent Hamiltonian Simulation of Highly Oscillatory Dynamics and Superconvergence for SchrÃ¶dinger Equation.
*Quantum*6, 690, 2022. [doi][arXiv] (TQC talk 2022) - D. An, and L. Lin. Quantum linear system solver based on time-optimal adiabatic quantum computing and quantum approximate optimization algorithm.
*ACM Transactions on Quantum Computing*, 3 Article 5, 2022. [doi][arXiv] - D. An, D. Fang, and L. Lin. Parallel transport dynamics for mixed quantum states with applications to time-dependent density functional theory.
*Journal of Computational Physics*451, 110850, 2022. [doi][arXiv] - Y. Tong, D. An, N. Wiebe, and L. Lin. Fast inversion, preconditioned quantum linear system solvers, and fast evaluation of matrix functions.
*Physical Review A*104, 032422, 2021. [doi][arXiv] - D. An, L. Lin, and Z. Xu. Split representation of adaptively compressed polarizability operator.
*Research in the Mathematical Sciences*8 (3), 1-30, 2021. [doi][arXiv] - D. An, N. Linden, J. Liu, A. Montanaro, C. Shao, and J. Wang. Quantum-accelerated multilevel Monte Carlo methods for stochastic differential equations in mathematical finance.
*Quantum*5, 481, 2021. [doi][arXiv] - D. An, D. Fang, and L. Lin. Time-dependent unbounded Hamiltonian simulation with vector norm scaling.
*Quantum*5, 459, 2021. [doi][arXiv] - D. An, S.Y. Cheng, T. Head-Gordon, L. Lin, and J. Lu. Convergence of stochastic-extended Lagrangian molecular dynamics method for polarizable force field simulation.
*Journal of Computational Physics*438, 110338, 2021. [doi][arXiv] - S. Tan, I. Leven, D. An, L. Lin, and T. Head-Gordon. Stochastic constrained extended system dynamics for solving charge equilibration models.
*Journal of Chemical Theory and Computation*16 (10), 5991-5998, 2020. [doi] - D. An, and L. Lin. Quantum dynamics with the parallel transport gauge.
*SIAM Multiscale Modeling & Simulation*18 (2), 612-645, 2020. [doi][arXiv] - W. Jia, D. An, L.-W. Wang, and L. Lin. Fast real-time time-dependent density functional theory calculations with the parallel transport gauge.
*Journal of Chemical Theory and Computation*14 (11), 5645-5652, 2018. [doi][arXiv] - D. An, W. Wang, and P. Zhang. On equilibrium configurations of nematic liquid crystals droplet with anisotropic elastic energy.
*Research in the Mathematical Sciences*4 (1), 1-18, 2017. [doi]