Explore a 30-minute conference talk that introduces innovative approaches to quantum information processing by transferring signal processing methods to quantum systems. Learn how techniques such as the short-time Fourier transform and wavelet transform, along with their reconstruction formulae, can be adapted for both discrete and continuous variable quantum systems. Discover the operator short-time Fourier transform and the polarized Cohen's class of an operator as key tools in this interdisciplinary approach. Gain insights into cutting-edge research that bridges classical signal processing and quantum computing, presented by Franz Luef from NTNU as part of collaborative work with Monika Doerfler, Henry McNulty, and Eirik Skrettingland at the Gemini Center on Quantum Computing.