Bidirectional-chain Controlled Quantum Teleportation of Multiple Quantum Based on a Ten-qubit Cluster State

To realize chained quantum communication between multiple actors, a bidirectional-chain controlled quantum teleportation (BCCQT) protocol that provided multi-qubit initial states between four parties was proposed using the ten-qubit cluster state as the quantum channel (QC). Quantum communication was carried out between communication participants Alice, Bob, Charlie and communication controller David, and the security of quantum communication process was guaranteed by the authority of the controller and the entanglement characteristics of QC. After a series of complex processes and methods such as complex single transformation of multi-qubit states, sequential communication, reverse communication, single remodeling and complex remodeling, the initial state of multi-qubit was reconstructed, and the chain quantum communication was finally achieved. Results show that the protocol is feasible. Meanwhile, based on this, a conjecture about the relationship between n+1 square quantum teleportation and QC was proposed.