  The exponential suppression of macroscopic quantum tunneling (MQT) in the
number of elements to be reconfigured is an essential element of broken
symmetry phases. This suppression is also a core bottleneck in quantum
algorithms, such as traversing an energy landscape in optimization, and
adiabatic state preparation more generally. In this work, we demonstrate
exponential acceleration of MQT through Floquet engineering with the
application of a uniform, high frequency transverse drive field. Using the
ferromagnetic phase of the transverse field Ising model in one and two
dimensions as a prototypical example, we identify three phenomenological
regimes as a function of drive strength. For weak drives, the system exhibits
exponentially decaying tunneling rates but robust magnetic order; in the
crossover regime at intermediate drive strength, we find polynomial decay of
tunnelling alongside vanishing magnetic order; and at very strong drive
strengths both the Rabi frequency and time-averaged magnetic order are
approximately constant with increasing system size. We support these claims
with extensive full wavefunction and tensor network numerical simulations, and
theoretical analysis. An experimental test of these results presents a
technologically important and novel scientific question accessible on NISQ-era
quantum computers.
