dr hab. Marek Mozrzymas

Application of majorisation in Quantum Information Theory

A recent results in Quantum Information Theory have shown that majorisation is a powerful and efficient tool in this theory. The usefulness of majorisation in Quantum Information Theory is a consequence of the relation between the majorisation relation and the unitarity, which plays a fundamental role in Quantum Mechanics. In this review lecture I would like to introduce the concept of majorisation and to present some examples of application of majorisation in Quantum Information Theory. In particular I would like to show what are the connections between entatnglement and majorisation and some applications of majorisation in the domain of local transformations of bipartite states.