We introduce a family of quantum key distribution protocols for distributing shared random keys within a network of n users. The advantage of these protocols is that any possible key structure needed within the network, including broadcast keys shared among subsets of users, can be implemented by using a particular multipartite high-dimensionally entangled quantum state. This approach is more efficient in the number of quantum channel uses than conventional quantum key distribution using bipartite links. Additionally, multipartite high-dimensional quantum states are becoming readily available in quantum photonic labs, making the proposed protocols implementable using current technology.
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Pivoluska et al. (2018) studied this question.
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