胡文文, 周日贵. 弱测量理论对三能级量子态共享的保真度分析[J]. 北京工业大学学报, 2023, 49(6): 609-620. DOI: 10.11936/bjutxb2022100012
    引用本文: 胡文文, 周日贵. 弱测量理论对三能级量子态共享的保真度分析[J]. 北京工业大学学报, 2023, 49(6): 609-620. DOI: 10.11936/bjutxb2022100012
    HU Wenwen, ZHOU Rigui. Fidelity Analysis of Weak Measurement Theory for Three-level Quantum State Sharing[J]. Journal of Beijing University of Technology, 2023, 49(6): 609-620. DOI: 10.11936/bjutxb2022100012
    Citation: HU Wenwen, ZHOU Rigui. Fidelity Analysis of Weak Measurement Theory for Three-level Quantum State Sharing[J]. Journal of Beijing University of Technology, 2023, 49(6): 609-620. DOI: 10.11936/bjutxb2022100012

    弱测量理论对三能级量子态共享的保真度分析

    Fidelity Analysis of Weak Measurement Theory for Three-level Quantum State Sharing

    • 摘要: 量子态共享是量子密码学研究中的一个重要分支,而纠缠态分发是实现量子态共享方案的必要手段. 噪声环境会导致量子纠缠态产生退相干,从而降低量子态共享方案的性能甚至出现失败的情况. 基于三能级量子系统下三方量子态共享方案,研究了振幅阻尼信道在4种不同配置下量子态共享的保真度问题. 为提升共享量子态的保真度,采用量子弱测量方法对振幅阻尼噪声信道中纠缠态的分发进行保护,得到在量子弱测量方法辅助下振幅阻尼信道中量子态共享的保真度. 最后,以特定形式的量子态为例,分析了在4种不同配置的振幅阻尼信道中量子弱测量方法对共享量子态保真度的改善效果. 通过仿真实验表明,量子弱测量方法只对振幅阻尼信道中2种不同配置下的量子态共享保真度有改善作用,而对其他2种配置下量子态共享的保真度没有明显的改善效果,甚至会产生相反的效果.

       

      Abstract: Quantum state sharing is an important branch of quantum cryptography, and entangled state distribution is a necessary means to realize quantum state sharing scheme. Noise environment leads to decoherence of quantum entangled states, which reduce the performance of quantum state sharing schemes and even fail. Based on a tripartite quantum state sharing scheme in the three-level quantum system, the fidelity of quantum state sharing in four different configurations of amplitude-damped channels was investigated in this paper. To improve the fidelity of shared quantum states, the quantum weak measurement method was used to protect the distribution of entangled states in the amplitude-damped noise channel, and the fidelity of shared quantum states in the amplitude-damped channel with the aid of quantum weak measurement method was obtained. Finally, taking a specific form of quantum state as an example, the improvement effect of quantum weak measurement method on the fidelity of shared quantum state in four different configurations of amplitude damped channels was analyzed. The simulation results show that the quantum weak measurement method can only improve the shared fidelity of quantum states under two different configurations in the amplitude damped channel, but has no obvious improvement effect on the shared fidelity of quantum states under the other two configurations, and even produces the opposite effect.

       

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