Integrated semi-quantum layered communication

In recent times, secure quantum communication in layered networks has emerged as an important area of study. The authors harness the potential offered by multidimensional states in secure quantum communication with only one quantum participant and all the other classical participants. Three protocols are proposed for—(i) entanglement-based layered semi-quantum key distribution, (ii) layered semi-quantum secret sharing, and (iii) integrated layered semi-quantum key distribution and secret sharing to share secret information in arbitrarily layered networks. These protocols integrate the features of semi-quantum communication in layered networks. All three protocols allow for simultaneous distribution of secure information in all the layers of a network, thanks to the employment of multidimensional states. These protocols are presented for a small network of at most five participants and three layers and show the robustness of the same against various eavesdropping strategies. Finally, a detailed procedure is provided for generalisations of the proposed protocols to distribute keys/secrets in any arbitrarily structured quantum network.