Far from equilibrium dynamics and quantum computing frontier

A broad effort is currently underway to develop quantum computers and simulators that can outperform classical counterparts for certain computational or simulation tasks. Exploring far-from equilibrium quantum dynamics of complex many-body systems is emerging as an exciting scientific application of such devices. In this talk, we will discuss recent advances in studying quantum dynamics using programmable, coherent manipulation of quantum systems based on neutral atom arrays excited into Rydberg states. Specifically, we will discuss the analog quantum dynamics following rapid quenches in many-body systems, which has led to the discovery of coherent revivals known as quantum many-body scars. We will describe how these dynamics can be stabilized and controlled through periodic driving. In addition, we will discuss quantum simulations of complex scrambling circuits using a logical quantum processor based on encoded quantum bits and quantum error correction techniques. We demonstrate that this logical encoding significantly improves algorithmic performance with error detection, surpassing physical qubit fidelities in both cross-entropy benchmarking and quantum simulations of fast scrambling. Potential applications of these methods, ranging from simulations of lattice gauge theories to gaining insights into models of quantum gravity and charting a path toward large-scale quantum computers, will be discussed.