Michel Alexis, Gevorg Mnatsakanyan, Christoph Thiele
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Quantum signal processing and nonlinear Fourier analysis
Elucidating a connection with nonlinear Fourier analysis (NLFA), we extend a well known algorithm in quantum signal processing (QSP) to represent measurable signals by square summable sequences. Each coefficient of the sequence is Lipschitz continuous as a function of the signal.