Hierarchical Cyclic Teleportation Based on Time-Bin Multiplexing

The quantum time-bin multiplexing can utilize a polarized single photon with \({2^{n - 1}}\) (\(n \ge 3\)) time slots to entangle n pairs of quantum memories. Based on the idea of quantum time-bin multiplexing, we propose two hierarchical cyclic teleportation schemes. One is to realize the four-nodes hierarchical cyclic communication by using two single photons encoding two time slots respectively as bridges of entanglement establishment. The other is to use a single photon encoding four time slots as the bridge of entanglement establishment to achieve cyclic communication between three nodes. The two schemes do not need to prepare complex entangled states as quantum channels. It provides a multi-party communication application for quantum multiplexing. The design idea of the schemes in this paper can be applied to the cyclic communication of more nodes by encoding more time slots.