Publications

Preprints

• Z. Shang, D. An, and C. Shao. Exponential Lindbladian fast forwarding and exponential amplification of certain Gibbs state properties. [arXiv:2509.09517]
• D. An, P. C. S. Costa, and D. W. Berry. Large time-step discretisation of adiabatic quantum dynamics. [arXiv:2509.00171]
• X. Huang, and D. An. Fourier transform-based linear combination of Hamiltonian simulation. [arXiv:2508.19596]
• G. Yang, A. Onwunta, and D. An. Quantum differential equation solvers with low state preparation cost: eliminating the time dependence in dissipative equations. [arXiv:2508.15170]
• Z. Lai, J. Hu, D. An, and Z. Wen. Extended Parameter shift rules with minimal derivative variance for parameterized quantum circuits. [arXiv:2508.08802]
• Z. Lai, J. Hu, T. Ko, J. Wu, and D. An. Optimal interpolation-based coordinate descent method for parameterized quantum circuits. [arXiv:2503.04620]
• D. An, A. M. Childs, L. Lin, and L. Ying. Laplace transform based quantum eigenvalue transformation via linear combination of Hamiltonian simulation. [arXiv:2411.04010] (QIP talk 2025, merged with [arXiv:2312.03916])
• M. E. S. Morales, L. Pira, P. Schleich, K. Koor, P. C. S. Costa, D. An, L. Lin, P. Rebentrost, and D. W. Berry. Quantum linear system solvers: A survey of algorithms and applications. [arXiv:2411.02522]
• D. An, A. Onwunta, and G. Yang. Fast-forwarding quantum algorithms for linear dissipative differential equations. [arXiv:2410.13189]
• Y. Dong, D. An, and M. Y. Niu. Feedforward quantum singular value transformation. [arXiv:2408.07803]
• 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] (QIP talk 2025, merged with [arXiv:2411.04010])
• D. An, and K. Trivisa. Quantum algorithms for linear and non-linear fractional reaction-diffusion equations. [arXiv:2310.18900]

Peer-reviewed papers

• Z. Shang, N. Guo, D. An, and Q. Zhao. Design nearly optimal quantum algorithm for linear differential equations via Lindbladians. Accepted by Physical Review Letters. [arXiv]
• P. C. S. Costa, M. E.S. Morales, D. An, and Y. R. Sanders. Assessing quantum and classical approaches to combinatorial optimization: Testing quadratic speed-ups for heuristic algorithms. Physical Review A 112 (2), 022429, 2025. [doi][arXiv]
• D. An, J. Liu, D. Wang, and Q. Zhao. Quantum differential equation solvers: limitations and fast-forwarding. Communications in Mathematical Physics 406 (8), 189, 2025. [doi][arXiv]
• 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, 963–1020, 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 Schrödinger 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]