A dual Fourier-PSF and contour-PSF framework resolves the smoothness-sparsity trade-off for efficient quantum simulation of singular and holomorphic matrix functions.
https://arxiv.org/abs/2312.03916
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Quantum circuit framework for advection-diffusion PDEs with Robin and periodic boundary conditions via LCHS, including LCU error analysis and gate complexity showing potential quantum advantage in high dimensions.
Schrödingerization-based quantum linear systems solver using LCHS and block preconditioning for near-optimal query complexity.