Hierarchical controlled asymmetric bidirectional hybrid quantum communication in noisy environment

This paper puts forward a novel hierarchical controlled asymmetric bidirectional hybrid quantum communication scheme that can be applied to hierarchical quantum information transmission tasks in various application scenarios. In this scheme, with only Charlie’s assistance, Alice can accomplish the less crucial task of remotely preparing any single-qubit state for Bob. Simultaneously, Bob aims to transmit any two-qubit states to Alice via quantum teleportation. As a more vital communication task, apart from obtaining the consent of the control agent Charlie, Bob also requires the help of another control agent, David. Only with the combined control and support of Charlie and David can this task be successfully completed by Bob. In an ideal environment, the success rate of this protocol is 1. Given that noise is inevitable in practical communication, this paper further investigates the impact of different noises on this communication scheme and analyzes and compares its efficiency with other existing similar schemes. The proposed protocol outperforms existing hierarchical quantum communication solutions in terms of task generality and flexibility. By assigning different levels of controllers to different tasks, it provides users with greater flexibility to meet their specific needs, especially in scenarios requiring both multi-level authorization control and hybrid quantum communication.