  We investigate the use of high-dimensional quantum key distribution (HD-QKD)
in wireless access to hybrid quantum classical networks. We study the
distribution of d-dimensional time-phase encoded states between an indoor
wireless user and the central office on the other end of the access network. We
evaluate the performance in the case of transmitting quantum and classical
signals over the same channel by accounting for the impact of background noise
induced by the Raman-scattered light on the QKD receiver. We also take into
account the loss and background noise that occur in indoor environments as well
as finite key effects in our analysis. We show that an HD-QKD system with d = 4
can outperform its qubit-based counterpart.
