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Clarifying the impact of quantumness in the operation and properties ofthermal machines represents a major challenge. Here we envisage a toy modelacting either as an information-driven fridge or as heat-powered informationeraser in which coherences can be naturally introduced in by means of squeezedthermal reservoirs. We study the validity of the transient entropy productionfluctuation theorem in the model with and without squeezing as well as itsdecomposition into adiabatic and non-adiabatic contributions. Squeezingmodifies fluctuations and introduces extra mechanisms of entropy exchange. Thisleads to enhancements in the cooling performance of the refrigerator, and toovercoming Landauer's bound in the setup.

Entropy production and fluctuations in a Maxwell's refrigerator with squeezing