Quantum Speed Limits for Quantum Information Processing Tasks

Quantum speed limits provide important bounds on quantum information processing tasks. Systems where these limitations can be probed are already being realized experimentally. We show that the Lieb-Robinson bound can be used to derive fundamental speed limits on quantum information processing tasks in local quantum spin systems. Comparison with numerical optimal control results for spin chains suggests that unexplored regions of the dynamical landscape may support enhanced performance of key quantum information processing tasks.