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quant-ph2026
Fast-forwarding quantum algorithms for weakly nonlinear dissipative differential equations and beyond
Yixiang Li, Dong An
We study a fast-forwarded quantum algorithm for solving weakly nonlinear dissipative ordinary differential equations. Our approach is a combination of the Carleman embedding techni…
quant-ph2026
Quantum simulation of slow analytic time-dependent Hamiltonians
Chenhao Zhao, Yinan Li, Dong An
We develop a quantum algorithm for slow analytic Hamiltonians with that achieves nearly additive query complexity and low gate overhead. Ou…
quant-ph2026
Constant Factor Analysis of Optimal Quantum Linear Solvers in Practice
Pedro C. S. Costa, Alexander M. Dalzell, Dong An +1
Optimal quantum linear equation solvers provide complexity , where is the condition number and is the allowable error. The optimal solver using a discrete ad…