Quantum Info & Quantum Math

This research line focuses on quantum information theory and advanced mathematical methods to describe complex quantum systems. It addresses the detection and quantification of entanglement — a quantum phenomenon with no classical counterpart — in pure and mixed quantum states, and the characterization of different classes of entangled states. Constraints governing the distribution of quantum correlations, such as the monogamy of entanglement, together with experimentally accessible strategies for entanglement detection in systems such as cold atomic ensembles and photonic platforms are explored. This line also includes the development and application of mathematical, theoretical, and computational tools to address foundational problems in quantum physics and mathematics, including frameworks such as flow equations and linearization theories, and applications to quantum interference phenomena and strongly correlated systems.