Abstract
The ability of fully reconstructing quantum maps is a fundamental task of quantum information, in particular when coupling with the environment and experimental imperfections of devices are taken into account. In this context we carry out a quantum process tomography (QPT) approach for a set of non trace-preserving maps. We introduce an operator $\OO$ to characterize the state dependent probability of success for the process under investigation. We also evaluate the result of approximating the process with a trace-preserving one.
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