2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104132In this paper we use the method of a recent paper (quant-ph/0509101) to compute complementary channels for certain important cases, such as depolarizing and transpose-depolarizing channels. This method allows us to easily obtain the minimal Kraus representations from non--minimal ones. We also study the properties of the output purity of the tensor product of a channel and its complement.17 pagesQuantum Physicstext