The Entanglement Frontier

Although Quantum Mechanics is about  a century old we are only  slowly beginning to grasp how truly strange it is. It is now clear that there is an  essential weirdness in  Quantum Systems  which  makes them  very different from classical ones. This weirdness is called Entanglement and it  responsible for many things such as the violations of Bell's inequalities. Entanglement is  also a key   reason to hope that we can build quantum computers which are much more powerful than their classical counterparts. In the colloquium I will discuss the concept of Entanglement and describe how it can be precisely quantified in various settings  including Gauge Theories which arise in particle physics and condensed matter physics. More broadly, I will  discuss some of the promise  that our growing understanding of Quantum Mechanics holds for the future in   various branches of science.