My research deals with the interplay between quantum information and of black holes. The holographic principle is a theoretical duality relating quantum-mechanical phenomena to the physics of gravitational systems. This surprising link connects the theoretical properties of astronomical objects like black holes to the optimization of quantum computers. In particular, the interior of a black hole can be related to computational complexity, which is the difficulty to implement a certain operation. My research also focuses on the study of non-relativistic theories, which are limits that can lead to a controlled framework to analyze quantum systems and their dual gravitational description.