  In the paper we discuss possible applications of the so-called stroboscopic
tomography (stroboscopic observability) to selected decoherence models of
2-level quantum systems. The main assumption behind our reasoning claims that
the time evolution of the analyzed system is given by a master equation of the
form $\dot{\rho} = \mathbb{L} \rho$ and the macroscopic information about the
system is provided by the mean values $m_i (t_j) = Tr(Q_i \rho(t_j))$ of
certain observables $\{Q_i\}_{i=1} ^r $ measured at different time instants
$\{t_j\}_{j=1}^p$. The goal of the stroboscopic tomography is to establish the
optimal criteria for observability of a quantum system, i.e. minimal value of
$r$ and $p$ as well as the properties of the observables $\{Q_i\}_{i=1} ^r $.
