2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/90887Quantum compression can be thought of not only as compression of a signal, but also as a form of cooling. In this view, one is interested not in the signal, but in obtaining purity. In compound systems, one may be interested to cool the system to obtain {\it local purity} by use of local operations and classical communication [Oppenheim et al. Phys. Rev. Lett. 89,180402 (2002)]. Here we compare it with usual compression and find that it can be represented as compression with suitably restricted means.5 pages, submitted to special issue of Int. J. Theor. Phys. on "Quantum Composite Systems: theory, experiment and applications"Quantum Physicstext