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.
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