Windowed Fourier transform and general wavelet algorithms in quantum computation (pp0237-0251)
          Guangsheng Ma, Hongbo Li, and Jiman Zhao
          doi: https://doi.org/10.26421/QIC19.3-4-4
Abstracts: In this paper, we define the quantum windowed Fourier transform and study some of its properties, then we develop two useful operations called quantum convolution and `integral'. Quantum `integral' allows us to implement the integral transforms quantum-mechanically with a certain probability, including general wavelet kernel transforms. Furthermore, we propose an improved wavelet kernel transform for quantum computation.
Key words:  Quantum windowed Fourier transform, quantum convolution, quantum wavelet algorithms