Środowiskowe Seminarium z Informacji i Technologii Kwantowych

Quantum information processing is limited, in practice, to efficiently implementable operations. This motivates the study of quantum divergences that preserve their operational meaning while faithfully capturing these computational constraints. Using geometric, computational, and information theoretic tools, we define two new types of computational divergences, which we term computational max-divergence and computational measured Rényi divergences.In this talk I will give an overview of the construction of our framework, based on cones of efficient binary measurements, and will detail their applications to hypothesis testing, quantum resource quantification and entanglement distillation/ cost.