Unification of random dynamical decoupling and the quantum Zeno effect

Abstract Periodic deterministic bang–bang dynamical decoupling and the quantum Zeno effect are known to emerge from same physical mechanism. Both concepts based on cycles of strong frequent kicks provoking a subdivision Hilbert space into independent subspaces. However, previous unification results do not capture case random decoupling, which can be advantageous but has an inherently acyclic structure. Here, we establish correspondence between by investigating average over evolutions. This protocol is manifestation dynamics leads unitary bath evolution. By providing framework that call equitability system , show under converges with error characteristically depends convergence speed limit. reveals effect.