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quant-ph2026
Contour-integral and Fourier transform based multivariable quantum eigenvalue transformation for commuting matrices
Shan Jiang, Dong An
We study the problem of implementing multivariable matrix-valued functions on a quantum computer and propose two quantum algorithms for multivariable matrix eigenvalue transformati…
quant-ph2026
Contour-integral based quantum eigenvalue transformation: analysis and applications
Shan Jiang, Dong An
Eigenvalue transformations appear ubiquitously in scientific computation, ranging from matrix polynomials to differential equations, and are beyond the reach of the quantum singula…