Image compression and entanglement
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2005
- DOI:
- 10.48550/arXiv.quant-ph/0510031
- arXiv:
- arXiv:quant-ph/0510031
- Bibcode:
- 2005quant.ph.10031L
- Keywords:
-
- Quantum Physics;
- Computer Science - Multimedia
- E-Print:
- 4 pages, 5 figures