[seminar-cqi] CQI Seminar: Michel Alexis

Dear friends, Next Wednesday at 10 AM in D5.01 we'll have a guest seminar by Michel Alexis from Clemson University, on the use of the nonlinear Fourier transform in quantum signal processing. Title and abstract below. Hope to see you there, William Schober Title: How to "represent" a function in a quantum computer using the nonlinear Fourier transform Abstract: We define the SU(2)-valued nonlinear Fourier transform and explain its connection with quantum signal processing. In particular, we provide an algorithm to compute the inverse nonlinear Fourier transform in a special case, which allows one to "represent" most functions in a quantum computer. Finally, we mention the higher dimensional analog with the SU(2n)-valued nonlinear Fourier transform. This talk includes joint work with L. Becker, L. Lin, G. Mnatsakanyan, D. Oliveira e Silva, C. Thiele and J. Wang.