Challenges at the entanglement frontier
Quantum entanglement is the origin of both the weirdness associated with quantum systems and the power of many proposed quantum technologies. While largely studied in the the context of a few particles, recent work has emphasized its importance in macroscopic systems, such as electronic solids with many interacting particles. I will discuss examples where quantum entanglement has helped us classify and discover new topological phases of matter, which may have applications to future quantum devices. Finally, I will review related theoretical progress on a remarkable new quantum system - two sheets of graphene, rotated relative to one another by just one degree - where a variety of states including superconductivity have been observed.