Bidirectional Controlled Quantum Teleportation of Arbitrary Two-qubit States Using Ten-qubit Entangled Channel in Noisy Environment

This paper presents a new scheme of bidirectional controlled quantum teleportation (BCQT) through a ten-qubit entangled channel. As two users, Alice and Bob can transfer an arbitrary two-qubit state to each other under the supervision of the controller Charlie. Notably, we reduce the complexity of channel construction and it does not require auxiliary qubits. Moreover, we investigate the effects of two noise channels: amplitude-damping noise and phase-damping noise. The fidelities of these two noises only depend on the amplitude parameter of the original state and the decoherence noisy rate.