Maihemuti Nueraminaimu, Chen Zhanheng, Peng Jiayin, Aisan Yimamujiang, Tang Jiangang
School of Mathematics and Statistics, Kashi University, Kashi 844000, China.
The School of Mathematics and Statistics, Yili Normal University, Yili 835000, China.
Entropy (Basel). 2025 Mar 11;27(3):292. doi: 10.3390/e27030292.
With the rapid development of quantum communication technologies, controlled double-direction cyclic (CDDC) quantum communication has become an important research direction. However, how to choose an appropriate quantum state as a channel to achieve double-direction cyclic (DDC) quantum communication for multi-particle entangled states remains an unresolved challenge. This study aims to address this issue by constructing a suitable quantum channel and investigating the DDC quantum communication of two-particle states. Initially, we create a 25-particle entangled state using Hadamard and controlled-NOT (CNOT) gates, and provide its corresponding quantum circuit implementation. Based on this entangled state as a quantum channel, we propose two new four-party CDDC schemes, applied to quantum teleportation (QT) and remote state preparation (RSP), respectively. In both schemes, each communicating party can synchronously transmit two different arbitrary two-particle states to the other parties under supervisory control, achieving controlled quantum cyclic communication in both clockwise and counterclockwise directions. Additionally, the presented two schemes of four-party CDDC quantum communication are extended to situations where n>3 communicating parties. In each proposed scheme, we provide universal analytical formulas for the local operations of the sender, supervisor, and receiver, demonstrating that the success probability of each scheme can reach 100%. These schemes only require specific two-particle projective measurements, single-particle von Neumann measurements, and Pauli gate operations, all of which can be implemented with current technologies. We have also evaluated the inherent efficiency, security, and control capabilities of the proposed schemes. In comparison to earlier methods, the results demonstrate that our schemes perform exceptionally well. This study provides a theoretical foundation for bidirectional controlled quantum communication of multi-particle states, aiming to enhance security and capacity while meeting the diverse needs of future network scenarios.
随着量子通信技术的快速发展，可控双向循环（CDDC）量子通信已成为一个重要的研究方向。然而，如何选择合适的量子态作为信道来实现多粒子纠缠态的双向循环（DDC）量子通信仍是一个未解决的挑战。本研究旨在通过构建合适的量子信道并研究双粒子态的DDC量子通信来解决这一问题。首先，我们使用哈达玛门和受控非门（CNOT）创建一个25粒子纠缠态，并给出其相应的量子电路实现。基于此纠缠态作为量子信道，我们提出了两种新的四方CDDC方案，分别应用于量子隐形传态（QT）和远程态制备（RSP）。在这两种方案中，每个通信方都可以在监督控制下同步向其他各方发送两个不同的任意双粒子态，实现顺时针和逆时针方向的可控量子循环通信。此外，所提出的四方CDDC量子通信的两种方案被扩展到n>3个通信方的情况。在每个提出的方案中，我们给出了发送方、监督方和接收方的局部操作的通用解析公式，表明每个方案的成功概率可以达到100%。这些方案只需要特定的双粒子投影测量、单粒子冯·诺依曼测量和泡利门操作，所有这些都可以用现有技术实现。我们还评估了所提出方案的固有效率、安全性和控制能力。与早期方法相比，结果表明我们的方案表现非常出色。本研究为多粒子态的双向可控量子通信提供了理论基础，旨在提高安全性和容量，同时满足未来网络场景的多样化需求。
