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 $.

Categories: quant-ph math-ph math.MP

Applications of the Stroboscopic Tomography to Selected 2-Level Decoherence Models