Optical non-classicality as a Quantum Resource in Continuous-Variable Quantum Information

In this thesis we address the problem of building a Quantum Resource Theory in infinite dimension. In particular, we study bosonic non-classicality as a Quantum Resource in continuous-variable Quantum Information. After reviewing the formalism of open quantum systems and Quantum Optics, we introduce the framework of Quantum Resource Theories and we discuss the case of non-classicality, and its applications in Quantum Optics and Quantum Technologies. Finally, we study a Resource Theory of non-classicality based on the standard and measured relative entropies of non-classicality as resource monotones and we prove, for the first time in an infinite-dimensional Resource Theory, a bound for asymptotic conversion rates.