Using Eight Quantum Entangled States to Achieve Bidirectional Controlled Teleportation in a Noisy Environment

Quantum teleportation is an essential concept in quantum communication and quantum computing. bidirectional controlled quantum teleportation extends traditional quantum teleportation, transmitting information in two directions while ensuring security. It has become a hot topic of research. A bidirectional controlled quantum teleportation protocol based on eight-qubit entangled states is proposed. This protocol enables Alice and Bob to transmit two-qubit quantum states to each other under the control of a supervisor. The specific steps and derivation process of the theoretical plan were proposed, and the theory proved the correctness of the plan. To understand the impact of noise in quantum teleportation, the fidelity changes of this scheme were analysed under different types of noise channels. The influencing factors of fidelity were determined, which will provide a basis for optimising the transmission scheme and improving transmission performance in the future. An experimental circuit was built and simulated through the IBM Quantum Experience platform to verify the correctness and feasibility of the theory. The results showed that this solution can successfully reconstruct the sent quantum state with high fidelity. Finally, the security analysis of this scheme was conducted and compared with other traditional related schemes. This scheme has higher efficiency, lower resource consumption, simpler operation, and stronger security. The advantages of the scheme were pointed out.