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Is there any algorithm that implements wavelet (like there is Quantum Fourier Transform)? I've tried looking online, but couldn't find any, I wonder if something like this exists.

Thank you.

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Could you be looking for this: Quantum Wavelet Transforms: Fast Algorithms and Complete Circuits? (this links to arxiv.) In particular, this paper presents efficient circuits for the Haar and Daubechies wavelet transforms.

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