  Errors are the fundamental barrier to the development of quantum systems.
Quantum networks are complex systems formed by the interconnection of multiple
components and suffer from error accumulation. Characterizing errors introduced
by quantum network components becomes a fundamental task to overcome their
depleting effects in quantum communication. Quantum Network Tomography (QNT)
addresses end-to-end characterization of link errors in quantum networks. It is
a tool for building error-aware applications, network management, and system
validation. We provide an overview of QNT and its initial results for
characterizing quantum star networks. We apply a previously defined QNT
protocol for estimating bit-flip channels to estimate depolarizing channels. We
analyze the performance of our estimators numerically by assessing the Quantum
Cram\`er-Rao Bound (QCRB) and the Mean Square Error (MSE) in the finite sample
regime. Finally, we provide a discussion on current challenges in the field of
QNT and elicit exciting research directions for future investigation.
