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Image compression and entanglement

Jose I. Latorre
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Abstract

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.

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Jose I. Latorre. 2005-10-04. Image compression and entanglement. https://arxiv.org/abs/quant-ph/0510031

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