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20242026
most citedStructure-preserving quantum algorithms for linear and nonlinear Hamiltonian systems

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quant-ph2025

From Linear Differential Equations to Unitaries: A Moment-Matching Dilation Framework with Near-Optimal Quantum Algorithms

Xiantao Li

Quantum speed-ups for dynamical simulation usually demand unitary time-evolution, whereas the large ODE/PDE systems encountered in realistic physical models are generically non-uni…