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Efficient quantum interpolation of smooth distributions

This repository contains code to reproduce the algorithm presented in Efficient quantum interpolation of natural data (https://arxiv.org/abs/2203.06196). The code uses the quantum simulation library qibo (https://github.com/qiboteam/qibo) and the we recommend enhancing its performance by installing qibojit (https://github.com/qiboteam/qibojit).

The qft_inteprolation.ipynb file is a jupyter notebook with the steps to use QFT resampling on probability distributions and images.

The dct_inteprolation.ipynb file is a jupyter notebook with the steps to use DCT resampling on images.

The qft_class.py file contains the two classes to implement the QFT resampling algorithm on 1D and 2D data.

The qjpeg_class.py file contains the classes to implement the DCT resampling and compression algorithm on 2D data.

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