Optimizing Asymmetric Bidirectional Controlled Quantum Teleportation Via Eight-Qubit Cluster State

Utilizing eight-qubit cluster state as quantum channel, an asymmetric bidirectional controlled quantum teleportation scheme [Int. J. Theor. Phys. 61, 17 (2022)] is proposed recently. In the scheme, there are two agents Alice and Bob, and a controller Chris. Under the supervision and assistance of Charlie, Alice can teleport an unknown two-qubit entangled state to Bob, and at the same time, Bob can also teleport an unknown three-qubit pure state to Alice. However, a three-qubit GHZ-state measurement and a four-qubit GHZ-state measurement are required in the scheme. In this paper, we have optimized it so that only single-qubit measurements need to be performed to complete the same quantum task.