Quantum wave packet transforms with compact frequency support
arxiv(2024)
摘要
Different kinds of wave packet transforms are widely used for extracting
multi-scale structures in signal processing tasks. This paper introduces the
quantum circuit implementation of a broad class of wave packets, including
Gabor atoms and wavelets, with compact frequency support. Our approach operates
in the frequency space, involving reallocation and reshuffling of signals
tailored for manipulation on quantum computers. The resulting implementation is
different from the existing quantum algorithms for spatially compactly
supported wavelets and can be readily extended to quantum transforms of other
wave packets with compact frequency support.
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