  We revisit the practical implementation of high-dimensional quantum key
distribution protocol using path entanglement reported in
[Phys.Rev.Lett.~127,~110505,~2021]. Here we refine the noise robustness
analysis performed there by simulating the effect of different types of channel
noise on the noiseless experimental data. Further, we extend the analysis to
two kinds of asymmetric scenarios. In the first scenario the entanglement
source is placed in Alice's lab and thus Only one noisy channel has to be
considered. In the second scenario, Bob's detectors are placed at different
physical locations and therefore such scenario implements a simple
communication network. Our analysis can also be extended to other experimental
platforms and therefore provides a novel framework for fair noise robustness
comparison of high-dimensional quantum key distribution protocols.
