In this dissertation I develop a Monte-Carlo sampling approach to redress the enormous computational time required to calculate two-photon visibility for multiple-entanglementswapping-based long-distance quantum communication. I employ our theory to study both the realistic setting involving dark counts, multi-photon events and loss, and I also study the semi-idealistic case of perfect synchronized single-photon sources; this semi-idealistic case is used to verify my sampling method. My new

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... ling method enables successful, reliable calculation of visibility for up to six consecutive entanglementswapping stations. Although six entanglement-swapping stations lead to extremely low rates in the real-world setting, my sampling method for solving long-distance quantum communication rates and visibility serves as a valuable tool for modeling future viable quantum communication strategies incorporating promising technology such as optical quantum memory. ii Acknowledgements I am honor to finish this project with my collaborators Prof. Barry C. Sanders from