3 papers
quant-ph2026
Quantum Eigenvalue Transformation via Linear Combination of Hamiltonian Simulation: A Weyl Calculus Approach
Hongkang Ni, Lexing Ying
Linear combination of Hamiltonian simulation (LCHS) provides an efficient method for implementing matrix exponentials on quantum computers. In this paper, we develop LCHS…
quant-ph2025
Inverse nonlinear fast Fourier transform on SU(2) with applications to quantum signal processing
Hongkang Ni, Rahul Sarkar, Lexing Ying +1
The nonlinear Fourier transform (NLFT) extends the classical Fourier transform by replacing addition with matrix multiplication. While the NLFT on has been widel…
quant-ph2024
Fast Phase Factor Finding for Quantum Signal Processing
Hongkang Ni, Lexing Ying
This paper presents two efficient and stable algorithms for recovering phase factors in quantum signal processing (QSP), a crucial component of many quantum algorithms. The first a…