Abstract

Quantum fluctuations and interactions give rise to exotic phases of matter with remarkable properties, pushing the boundaries of our understanding of many-body quantum systems. Solving these problems is notoriously difficult on classical computers due to the exponential complexity of quantum many-body physics. Quantum processors, however, open new avenues for exploring these systems, offering a direct and potentially transformative approach. In this talk, I will first outline recent progress in realizing and studying topologically ordered and symmetry-protected phases using quantum hardware. I will then discuss their intriguing dynamical properties and how these can reveal quantum phase transitions. Finally, I will introduce a class of novel, highly entangled quantum phases that exist only in non-equilibrium settings and demonstrate how to probe their stability using a quantum processor.