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Distributed quantum information processing is based on the transmission ofquantum data over lossy channels between quantum processing nodes. These nodesmay be separated by a few microns or on planetary scale distances, buttransmission losses due to absorption/scattering in the channel are the majorsource of error for most distributed quantum information tasks. Of coursequantum error detection (QED) /correction (QEC) techniques can be used tomitigate such effects but error detection approaches have severe performancelimitations due to the signaling constraints between nodes and so errorcorrection approaches are preferable -assuming one has sufficient high qualitylocal operations. Typically, performance comparisons between loss-mitigatingcodes assume one encoded qubit per photon. However single photons can carrymore than one qubit of information and so our focus in this work is to explorewhether loss-based QEC codes utilizing quantum multiplexed photons are viableand advantageous, especially as photon loss results in more than one qubit ofinformation being lost. We show that quantum multiplexing enables significantresource reduction: in terms of the number of single photon sources while atthe same time maintaining (or even lowering) the number of two-qubit gatesrequired. Further, our multiplexing approach requires only conventional opticalgates already necessary for the implementation of these codes.

Resource reduction for distributed quantum information processing using quantum multiplexed photons