  Quantum Brownian motion of a harmonic oscillator in the Markovian
approximation is described by the respective Caldeira-Leggett master equation.
This master equation can be brought into Lindblad form by adding a position
diffusion term to it. The coefficient of this term is either customarily taken
to be the lower bound dictated by the Dekker inequality or determined by more
detailed derivations on the linearly damped quantum harmonic oscillator. In
this paper, we explore the theoretical possibilities of determining the
position diffusion term's coefficient by analyzing the entropy production of
the master equation.
