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 $\mathrm{SU}(1,1)$ has been widel…