A dual Fourier-PSF and contour-PSF framework resolves the smoothness-sparsity trade-off for efficient quantum simulation of singular and holomorphic matrix functions.
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n-regular block encodings let QSP apply degree-n polynomials directly to the eigenvalues of any square matrix, with an efficient conversion from standard block encodings.
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A Unified Poisson Summation Framework for Generalized Quantum Matrix Transformations
A dual Fourier-PSF and contour-PSF framework resolves the smoothness-sparsity trade-off for efficient quantum simulation of singular and holomorphic matrix functions.
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Quantum Eigenvalue Transformations for Arbitrary Matrices
n-regular block encodings let QSP apply degree-n polynomials directly to the eigenvalues of any square matrix, with an efficient conversion from standard block encodings.