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The experimental realization of quantum information systems will be difficultdue to how sensitive quantum information is to noise. Overcoming thissensitivity is central to designing quantum networks capable of transmittingquantum information reliably over large distances. Moreover, the ability tocharacterize communication noise in quantum networks is crucial in developingnetwork protocols capable of overcoming the effects of noise in quantumnetworks. In this context, quantum network tomography refers to thecharacterization of channel noise in a quantum network through end-to-endmeasurements. In this work, we propose network tomography protocols for quantumstar networks formed by quantum channels characterized by a single, non-trivialPauli operator. Our results further the end-to-end characterization of quantumbit-flip star networks by introducing tomography protocols where statedistribution and measurements are designed separately. We build upon previouslyproposed quantum network tomography protocols, as well as provide novel methodsfor the unique characterization of bit-flip probabilities in stars. Weintroduce a theoretical benchmark based on the Quantum Fisher Informationmatrix to compare the efficiency of quantum network protocols. We apply ourtechniques to the protocols proposed, and provide an initial analysis on thepotential benefits of entanglement for Quantum Network Tomography. Furthermore,we simulate the proposed protocols using NetSquid to assess the convergenceproperties of the estimators obtained for particular parameter regimes. Ourfindings show that the efficiency of protocols depend on parameter values andmotivate the search for adaptive quantum network tomography protocols.

On the Characterization of Quantum Flip Stars with Quantum Network Tomography