Seminarium "The Trans-Carpathian Seminar on Geometry & Physics"

In quantum information theory for mathematical description of quantum channels one uses the notion of completely positive maps on matrix spaces. In the first part of the talk we will discuss general theory of completely positive maps and their connection with quantum channels. In the second part of the talk I will focus on some mathematical problems arising in zero-error quantum information theory, namely I will talk on various zero-error capacities of quantum channels and superactivation effect. This is ajoint work with M. Shirokov.