Non-Markovianity through entropy-based quantum thermodynamics

We introduce a generalized approach to characterize the non-Markovianity of quantum dynamical maps via breakdown monotonicity thermodynamic functions. By adopting an entropy-based formulation thermodynamics, we use relationship between heat and entropy propose measure based on flow for single-qubit evolutions. This can be applied unital that do not invert sign internal energy. Under certain conditions, it also extended other functions, such as energy work flows. In this context, natural connection coherence identified are both incoherent. As applications, explore dissipative non-dissipative processes, illustrating compatibility our quantifiers well-establish defined coherence.