  Clarifying the impact of quantumness in the operation and properties of
thermal machines represents a major challenge. Here we envisage a toy model
acting either as an information-driven fridge or as heat-powered information
eraser in which coherences can be naturally introduced in by means of squeezed
thermal reservoirs. We study the validity of the transient entropy production
fluctuation theorem in the model with and without squeezing as well as its
decomposition into adiabatic and non-adiabatic contributions. Squeezing
modifies fluctuations and introduces extra mechanisms of entropy exchange. This
leads to enhancements in the cooling performance of the refrigerator, and to
overcoming Landauer's bound in the setup.
