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Physica Scripta

Hierarchical controlled asymmetric bidirectional hybrid quantum communication in noisy environment

Benchao Yang

Published May 13, 2025• 3 citations
Publisher

Abstract

Abstract 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.

DOI
10.1088/1402-4896/add815

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Abstract 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.
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Current hierarchical control quantum communication protocols are mostly limited to linear bidirectional architectures with only two communication agents, lacking cyclic information exchange capabilities and flexible scalability for large-scale scenarios. This limitation impedes the practical deployment of complex quantum communication networks. To address this issue, a novel hierarchical control bidirectional cyclic hybrid quantum information transmission protocol for an arbitrary single-qubit state is proposed. The protocol comprises six participating entities: three communication agents (Alice, Bob, and Charlie) at different levels and three control agents (David, Emma, and Frank) with a clear permission hierarchy. The bidirectional communication tasks of each communication agent require matching control authorization corresponding to their level: high-level communication agents only need David's assistance, mid-level ones require joint control from David and Emma, and low-level ones demand collaborative authorization from all three control agents to complete their quantum teleportation and remote state preparation tasks. Furthermore, the proposed six-party protocol is extended to a 2N-party scenario involving N control agents and N communication agents at different levels, adapting to the needs of large-scale quantum communication networks. This work provides a flexible and scalable theoretical framework for constructing hierarchical quantum communication networks with cyclic information exchange.
Abstract This article proposes an asymmetric bidirectional hierarchical quantum teleportation protocol, which is based on a quantum channel composed of a maximum of eight-qubit entangled state. With this method, Alice can transmit an unknown single-qubit state to Bob, meanwhile, Bob can transmit an arbitrary unknown two-qubit quantum state to Alice. As a sender with high authority, Bob can send any unknown two-qubit quantum state to Alice only under the sole control of the controller Charlie; Alice, as a sender with low-level permissions, if Bob intends to receive the unknown single-qubit quantum state sent by Alice, he must get the permission and assistance of Charlie and David to complete the communication.
Abstract In this paper, we develop a quantum communication protocol for the simultaneous preparation of a two-qubit and a three-qubit state at the positions of two different parties situated spatially apart. For one party, Alice, it is a remote state preparation of a known two-qubit state while for the other party, Bob, it is a joint remote state preparation with the help of a third party, Eve. The protocol is executed in a hybrid form bi-directionally in the presence of two controllers, Charlie and David. There is a hierarchy in the process through different levels of control under which the actions by Alice and Bob are performed. There is a need for a ten-qubit entangled channel connecting the five parties. The generation of this channel through a circuit is discussed. The protocol is executed on the IBM Quantum platform. We also study the effect of noise on our protocol. Here, amplitude-damping, bit-flip and phase-flip noisy environments are considered and the corresponding variations of fidelity are theoretically and numerically analyzed.
Abstract The purpose of this article is to study hierarchical sharing with multiple users. Firstly, a genuine five-qubit entangled state is used as a quantum channel to achieve deterministic hierarchical sharing of an arbitrary unknown single-qubit state. In this setup, two agents of Alice, Bob and Charlie are at a higher power level in terms of accessing information, while the other two agents, namely David and Ellen, are at a lower power level. This scheme is then extended to the case of a non-maximally entangled five-qubit quantum channel. Secondly, we propose a scheme for remote state preparation of a known single-qubit state through a genuine five-qubit entangled state. In this scheme, the three agents of the senders Alice and Bob are divided into two different levels: Charlie at the higher level and David and Ellen at the lower level, and this scheme is further generalized to the case of non-maximally entangled five-qubit channels. Finally, the aforementioned schemes are generalized to the case involving m + n users. Here, the m + n agents of each generalized scheme are classified into two layers: m agents are at the higher power level, and n agents are at the lower power level.