  Developing quantum machines which can outperform their classical
counterparts, thereby achieving quantum supremacy or quantum advantage, is a
major aim of the current research on quantum thermodynamics and quantum
technologies. Here we show that a fast-modulated cyclic quantum heat machine
operating in the non-Markovian regime can lead to significant heat-current and
power boosts induced by the anti-Zeno effect. Such boosts signify a quantum
advantage over almost all heat-machines proposed thus far that operate in the
conventional Markovian regime, where the quantumness of the system-bath
interaction plays no role. The present effect owes its origin to the
time-energy uncertainty relation in quantum mechanics, which may result in
enhanced system-bath energy exchange for modulation periods shorter than the
bath correlation-time.
