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quant-ph2024
Laplace transform based quantum eigenvalue transformation via linear combination of Hamiltonian simulation
Dong An, Andrew M. Childs, Lin Lin +1
Eigenvalue transformations, which include solving time-dependent differential equations as a special case, have a wide range of applications in scientific and engineering computati…
quant-ph2020
Time-dependent unbounded Hamiltonian simulation with vector norm scaling
Dong An, Di Fang, Lin Lin
The accuracy of quantum dynamics simulation is usually measured by the error of the unitary evolution operator in the operator norm, which in turn depends on certain norm of the Ha…
quant-ph2020
Quantum-accelerated multilevel Monte Carlo methods for stochastic differential equations in mathematical finance
Dong An, Noah Linden, Jin-Peng Liu +3
Inspired by recent progress in quantum algorithms for ordinary and partial differential equations, we study quantum algorithms for stochastic differential equations (SDEs). Firstly…