2 research outputs found
Non-Markovianity through entropy-based quantum thermodynamics
We introduce a generalized approach to characterize the non-Markovianity of
quantum dynamical maps via breakdown of monotonicity of thermodynamic
functions. By adopting an entropy-based formulation of quantum thermodynamics,
we use the relationship between heat and entropy to propose a measure of
non-Markovianity based on the heat flow for single-qubit quantum evolutions.
This measure can be applied for unital dynamical maps that do not invert the
sign of the internal energy. Under certain conditions, it can also be extended
for other thermodynamic functions, such as internal energy and work flows. In
this context, a natural connection between heat and quantum coherence can be
identified for dynamical maps that are both unital and incoherent. As
applications, we explore dissipative and non-dissipative quantum dynamical
processes, illustrating the compatibility between our thermodynamic quantifiers
and the well-establish measure defined via quantum coherence.Comment: 7 pages, 3 figure