  Distributed quantum information processing is based on the transmission of
quantum data over lossy channels between quantum processing nodes. These nodes
may be separated by a few microns or on planetary scale distances, but
transmission losses due to absorption/scattering in the channel are the major
source of error for most distributed quantum information tasks. Of course
quantum error detection (QED) /correction (QEC) techniques can be used to
mitigate such effects but error detection approaches have severe performance
limitations due to the signaling constraints between nodes and so error
correction approaches are preferable -assuming one has sufficient high quality
local operations. Typically, performance comparisons between loss-mitigating
codes assume one encoded qubit per photon. However single photons can carry
more than one qubit of information and so our focus in this work is to explore
whether loss-based QEC codes utilizing quantum multiplexed photons are viable
and advantageous, especially as photon loss results in more than one qubit of
information being lost. We show that quantum multiplexing enables significant
resource reduction: in terms of the number of single photon sources while at
the same time maintaining (or even lowering) the number of two-qubit gates
required. Further, our multiplexing approach requires only conventional optical
gates already necessary for the implementation of these codes.
