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基于多尺度纠缠重整化假设的量子网络通信资源优化方案

赖红 任黎 黄钟锐 万林春

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基于多尺度纠缠重整化假设的量子网络通信资源优化方案

赖红, 任黎, 黄钟锐, 万林春

Quantum Network Communication Resource Optimization Scheme Based on Multi-Scale Entanglement Renormalization Ansatz

Lai Hong, Ren Li, Huang Zhong-Rui, Wan Lin-Chun
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  • 量子密钥分发(Quantum Key Distribution,QKD)技术因其在确保通信安全方面的潜力而备受关注,但其在大规模网络中的应用受限于量子资源的稀缺性和低效的利用率。尤其在Ekert91协议中,尽管利用了纠缠态对进行密钥生成,实际参与密钥生成的纠缠对数量有限,导致资源利用率不高。为了克服这一挑战,本文提出一种基于多尺度纠缠重整化假设(Multiscale Entanglement Renormalization Ansatz,MERA)的QKD优化方案,以提高纠缠资源的利用效率。该方案利用MERA的分层结构和多体态压缩特性,有效减少量子存储需求,并显著提升纠缠对的利用率。实验模拟显示,在相同的加密请求(1024比特)和物理条件下,与传统方法相比,本文的方案节省了124,151对纠缠资源,既显著提高了资源的利用效率,又未降低密钥生成过程的安全性,有助于推动QKD技术在资源受限的环境中进一步发展和应用。
    Quantum Key Distribution (QKD) is a pivotal technology in the field of secure communications, leveraging the principles of quantum mechanics to enable theoretically unbreakable encryption. However, despite its promise, QKD faces significant challenges in achieving large-scale deployment. The primary hurdle lies in the scarcity of quantum resources, especially entangled photon pairs, which are fundamental to protocols such as Ekert91. In traditional QKD implementations, only a fraction of the entangled pairs generated contribute to raw key production, leading to substantial inefficiencies and resource wastage. Addressing this limitation is crucial to the advancement and scalability of QKD networks.
    This paper introduces an innovative approach to QKD by integrating the Multiscale Entanglement Renormalization Ansatz (MERA), a technique originally developed for many-body quantum systems. By utilizing MERA's hierarchical structure, the proposed method not only improves the efficiency of entanglement distribution but also reduces the consumption of quantum resources. Specifically, MERA compresses many-body quantum states into lower-dimensional representations, allowing for the transmission and storage of entanglement in a more efficient manner. This compression significantly reduces the number of qubits required, optimizing both entanglement utilization and storage capacity in quantum networks.
    To evaluate the performance of this method, we conducted simulations under standardized conditions. The simulations assumed a 1024-bit encryption request, an 8\% error rate, an average path length of 4 hops in the quantum network, and a 95\% success rate for both link entanglement generation and entanglement swapping operations. These parameters mirror realistic physical conditions found in contemporary QKD networks. The results demonstrate that the MERA-based approach saves an impressive 124,151 entangled pairs compared to traditional QKD protocols. This substantial reduction in resource consumption underscores the potential of MERA to revolutionize the efficiency of QKD systems without compromising security. Importantly, the security of the key exchange process remains intact, as the method inherently adheres to the principles of quantum mechanics, particularly the no-cloning theorem and the use of randomness in decompression layers.
    The paper concludes that MERA not only enhances the scalability of QKD by optimizing quantum resource allocation but also maintains the security guarantees essential for practical cryptographic applications. By integrating MERA into existing QKD frameworks, we can significantly lower the resource overhead, making large-scale, secure quantum communication more feasible. These findings contribute a new dimension to the field of quantum cryptography, suggesting that advanced quantum many-body techniques like MERA hold the potential to unlock the full potential of quantum networks in real-world scenarios.
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