Algebry operatorów i ich zastosowania w fizyce

In quantum information theory for mathematical description ofquantum channels one uses trace-preserving completely positive maps on matrix (or operator) spaces. I will start with that and then I will focus on some mathematical problems arising in zero-error quantum information theory, namely I will talk on various zero-error capacitiesof quantum channels and superactivation effect. This is a joint work with M. Shirokov.