P. C. S. Costa, M. E. S. Morales, D. An, and K. Kristjuhan. Adiabatic tracking and optimal schedules for classical and quantum Gibbs-state preparation. [arXiv:2610.06268]
D. An, D. Dong, C. Shao, Y. Zhang, and C. Zhao. Transducer-based linear combination of unitaries: theory and applications. [arXiv:2609.40073]
S. Jiang, and D. An. Contour-integral and Fourier transform based multivariable quantum eigenvalue transformation for commuting matrices. [arXiv:2609.32262]
K. Zhou, D. An, and J. Liu. Learned-projector QAOA for hierarchical optimization. [arXiv:2609.28888]
D. An, Y. Li, P. Tang, and Y. Xiong. A quantum-assisted framework for PDE-based Bayesian inverse problems. [arXiv:2608.27028]
Y. Li, and D. An. Fast-forwarding quantum algorithms for weakly nonlinear dissipative differential equations and beyond. [arXiv:2608.25822]
C. Zhao, Y. Li, and D. An. Quantum simulation of slow analytic time-dependent Hamiltonians. [arXiv:2608.17653]
B. Zhang, D. An, Z. Meng, Y. Yu, X. Xiao, Z. Lu, and Y. Yang. Quantum simulation of real-world nonlinear dynamics via Koopman method. [arXiv:2607.07338]
J. Aftab, D. An, and K. Trivisa. Linear combination of Hamiltonian simulation with commutator scaling. [arXiv:2606.11475]
H. Nie, Z. Lai, and D. An. Pauli-structured preconditioning for quantum linear system solvers. [arXiv:2606.01733]
P. C. S. Costa, A. M. Dalzell, D. An, and D. W. Berry. Constant Factor Analysis of Optimal Quantum Linear Solvers in Practice. [arXiv:2604.22185]
X. Li, A. B. Catli, H. K. Lim, M. Pocrnic, D. An, J.-P. Liu, and N. Wiebe. Efficient Quantum Simulation for Nonlinear Stochastic Differential Equations. [arXiv:2603.12398]
Z. Lai, H. Nie, J. Wu, and D. An. Quantum circuit design from a retraction-based Riemannian optimization framework. [arXiv:2602.20605]
S. Liu, Y. Dong, D. An, and M. Y. Niu. Ensemble-Based Quantum Signal Processing for Error Mitigation. [arXiv:2601.20073]
S. Jiang, and D. An. Contour-integral based quantum eigenvalue transformation: analysis and applications. [arXiv:2601.11959]
X. Guo, and D. An. Improved gap dependence in adiabatic state preparation by adaptive schedule. [arXiv:2512.10329]
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]
Y. Dong, D. An, and M. Y. Niu. Feedforward quantum singular value transformation. [arXiv:2408.07803]
Peer-reviewed papers
J. Aftab, D. An, and K. Trivisa. Multi-product Hamiltonian simulation with explicit commutator scaling. Accepted by Communications in Mathematical Physics. [arXiv] (TQC talk 2024)
D. An, P. C. S. Costa, and D. W. Berry. Large time-step discretization of adiabatic quantum dynamics. Physical Review Research 8, 043098 (2026). [doi][arXiv]
C. Li, Z. Lai, D. An, J. Hu, and Z. Wen. A Human-AI Collaborative Workflow for Mathematical Discovery: A Case Study in Grover-Compatible Riemannian Optimization. Journal of Scientific Computing 109 (3), 74 (2026). [doi][arXiv]
Z. Lai, D. An, J. Hu, and Z. Wen. Achieving double-logarithmic precision dependence in optimization-based quantum unstructured search. Physical Review A 114 (2), 022436 (2026). [doi][arXiv]
Z. Lai, D. An, J. Hu, and Z. Wen. A Grover-compatible manifold optimization algorithm for quantum search. Accepted by SIAM Journal on Scientific Computing. [arXiv]
H. Nie, D. An, and Z. Wen. Quantum Alternating Direction Method of Multipliers for Semidefinite Programming. Quantum 10, 2154 (2026). [doi][arXiv]
Z. Shang, D. An, and C. Shao. Exponential Lindbladian fast forwarding and exponential amplification of certain Gibbs state properties. Reports on Progress in Physics 89 (5), 057602 (2026). [doi][arXiv] (As featured in: Progress In highlights)
Y. Lu, Y. Huang, D. An, Q. Zhao, D. Lv, and X. Yuan. Digital adiabatic evolution is universally accurate. Nature Communications 17, 6692 (2026). [doi][arXiv]
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. Reviews of Modern Physics 98 (2), 025005 (2026). [doi][arXiv]
D. An, A. Onwunta, and G. Yang. Fast-forwarding quantum algorithms for linear dissipative differential equations. Quantum 10, 1986 (2026). [doi][arXiv]
Z. Lai, J. Hu, T. Ko, J. Wu, and D. An. Optimal interpolation-based coordinate descent method for parameterized quantum circuits. Communications Physics 9, Article number: 41 (2026). [doi][arXiv]
Z. Lai, J. Hu, D. An, and Z. Wen. Extended Parameter shift rules with minimal derivative variance for parameterized quantum circuits. Physical Review Applied 25 (1), 014005 (2026). [doi][arXiv]
D. An, A. M. Childs, L. Lin, and L. Ying. Laplace transform based quantum eigenvalue transformation via linear combination of Hamiltonian simulation. SIAM Journal on Computing 55(2), 376-409 (2026). [doi][arXiv] (QIP talk 2025, merged with [arXiv:2312.03916])
D. An, and K. Trivisa. Quantum algorithms for linear and non-linear fractional reaction-diffusion equations. Quantum 10, 1969 (2026). [doi][arXiv]
D. An, A. M. Childs, and L. Lin. Quantum algorithm for linear non-unitary dynamics with near-optimal dependence on all parameters. Communications in Mathematical Physics 407 (1), 19 (2026). [doi][arXiv] (QIP talk 2025, merged with [arXiv:2411.04010])
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. Quantum 9, 1887 (2025). [doi][arXiv]
Z. Shang, N. Guo, D. An, and Q. Zhao. Design nearly optimal quantum algorithm for linear differential equations via Lindbladians. Physical Review Letters 135, 120604 (2025). [doi][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]
