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arXiv · 1506.03441

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

Artur Czerwiński
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Abstract

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 $.

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Artur Czerwiński. 2015-06-10. Applications of the Stroboscopic Tomography to Selected 2-Level Decoherence Models. https://doi.org/10.1007/s10773-015-2703-2

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