PrerequisiteLinear algebra; Matrix analysisAbstractThis course will focus on a formal presentation of definitions and theorems on quantum channels in quantum information theory. Numerous mathematical proofs of these theorems will be showed
IntroductionCurrently the problem of transferring results of algebraic topology to discrete objects and, in particular, to various categories of digraphs and graphs, is widely investigated. The main technical tools are given by the homotopy theory and various homology theories. We present the basic methods of algebraic topology in graph theory and describe relations between continious and discr...