Entanglement and phases of quantum matter
The prospect of being able to build universal quantum simulators and the quest for realising quantum error correcting codes for quantum computers has led to a renewed interest of simulating strongly correlated systems and of classifying topological phases of quantum matter. I will discuss how the theory of entanglement has provided a novel way of overcoming the ubiquitous exponential wall for dealing with quantum many-body systems, and how topological phases of matter can be characterized by different emerging entanglement patterns. Concepts such as quantum tensor networks and the generalized Landau paradigm will be untangled.