Today I read a paper titled “Image compression and entanglement”
The abstract is:
The pixel values of an image can be casted into a real ket of a Hilbert space using an appropriate block structured addressing.
The resulting state can then be rewritten in terms of its matrix product state representation in such a way that quantum entanglement corresponds to classical correlations between different coarse-grained textures.
A truncation of the MPS representation is tantamount to a compression of the original image.
The resulting algorithm can be improved adding a discrete Fourier transform preprocessing and a further entropic lossless compression.