Quantum signal processing and nonlinear Fourier analysis
Michel Alexis, Gevorg Mnatsakanyan, Christoph Thiele
Abstract
Abstract 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.
Topics & Concepts
Fourier transformNonlinear systemFourier analysisSIGNAL (programming language)Signal processingQuantum Fourier transformQuantumLipschitz continuitySequence (biology)AlgorithmComputer scienceMathematicsQuantum algorithmMathematical analysisDigital signal processingPhysicsQuantum mechanicsQuantum error correctionBiologyProgramming languageComputer hardwareGeneticsOptical Network TechnologiesQuantum Information and CryptographyNeural Networks and Reservoir Computing