Spin-liquids to non-Abelian excitations in controllable quantum matter

Ashvin Vishwanath, Harvard

In contrast to  symmetry breaking phases of matter, unconventional phases like spin liquids  stabilize long-range quantum entanglement, leading to new properties and opening the door to fault tolerant  quantum computing. However, the realization of these states in solids has proved challenging. Here I will discuss a recent proposal to create a spin liquid in a synthetic platform of highly excited (Rydberg) atoms, and review experimental  progress towards this goal. Next, I will discuss theoretical extensions that make use of measurements to vastly expand the set of quantum states that can be realized on quantum processors. In particular, I will discuss how certain non-Abelian gauge theories can be realized and how the solution of this problem is intimately linked to Galois'  insights on the solvability of polynomial equations. 

ZOOM INFO:    https://ucsb.zoom.us/j/84217234934?pwd=Nk4ya1NLaWVMUVJLMEllcHJzQmRkdz09