The project studies the conversion of quantum information resources. In contrast to our usual information resources (e.g. internet, hard drive, router, phone), quantum information resources (built e.g. from single photons and single atoms), are fundamentally different and more powerful. The project explores how these new resources can be used to obtain new communication scenarios (better, faster, more secure) and how they can be used to obtain a better description of larger quantum systems (eg. new materials). The project is theoretical, which means that mathematics is employed to achieve the results. In particular, the theory of matrices and tensors (multidimensional arrays of numbers) plays an important role.