Prof. Eran Sela - Many-Body Entanglement, Topological Phases and Quantum Computation

Abstract

Entanglement entropy is a key concept for understanding many-body systems. I will review some basic notions, such as the area law of entanglement on which multiple numerical algorithms such as DMRG are based, as well as powerful results on the scaling of entanglement in one-dimensional critical systems. I will introduce a general symmetry-decomposition of entanglement. Apart from the fact that this symmetry decomposition can be both computed and measured, I will discuss its direct application for topological states of matter, and its direct link with measurement based quantum computation. I will also show demonstrations of some of these results on an IBM quantum computer.