  The experimental realization of quantum information systems will be difficult
due to how sensitive quantum information is to noise. Overcoming this
sensitivity is central to designing quantum networks capable of transmitting
quantum information reliably over large distances. Moreover, the ability to
characterize communication noise in quantum networks is crucial in developing
network protocols capable of overcoming the effects of noise in quantum
networks. In this context, quantum network tomography refers to the
characterization of channel noise in a quantum network through end-to-end
measurements. In this work, we propose network tomography protocols for quantum
star networks formed by quantum channels characterized by a single, non-trivial
Pauli operator. Our results further the end-to-end characterization of quantum
bit-flip star networks by introducing tomography protocols where state
distribution and measurements are designed separately. We build upon previously
proposed quantum network tomography protocols, as well as provide novel methods
for the unique characterization of bit-flip probabilities in stars. We
introduce a theoretical benchmark based on the Quantum Fisher Information
matrix to compare the efficiency of quantum network protocols. We apply our
techniques to the protocols proposed, and provide an initial analysis on the
potential benefits of entanglement for Quantum Network Tomography. Furthermore,
we simulate the proposed protocols using NetSquid to assess the convergence
properties of the estimators obtained for particular parameter regimes. Our
findings show that the efficiency of protocols depend on parameter values and
motivate the search for adaptive quantum network tomography protocols.
