Zhang Chang-Yue, Zheng Zhu-Jun, Fei Shao-Ming, Feng Mang
Department of Mathematics, South China University of Technology, Guangzhou 510641, China.
School of Mathematical Sciences, Capital Normal University, Beijing 100048, China.
Entropy (Basel). 2023 Jan 12;25(1):157. doi: 10.3390/e25010157.
Noise exists inherently in realistic quantum systems and affects the evolution of quantum systems. We investigate the dynamics of quantum networks in noisy environments by using the fidelity of the quantum evolved states and the classical percolation theory. We propose an analytical framework that allows us to characterize the stability of quantum networks in terms of quantum noises and network topologies. The calculation results of the framework determine the maximal time that quantum networks with different network topologies can maintain the ability to communicate under noise. We demonstrate the results of the framework through examples of specific graphs under amplitude damping and phase damping noises. We further consider the capacity of the quantum network in a noisy environment according to the proposed framework. The analytical framework helps us better understand the evolution time of a quantum network and provides a reference for designing large quantum networks.
噪声在现实量子系统中固有存在，并影响量子系统的演化。我们通过使用量子演化态的保真度和经典渗流理论来研究噪声环境中量子网络的动力学。我们提出了一个分析框架，该框架使我们能够根据量子噪声和网络拓扑来表征量子网络的稳定性。该框架的计算结果确定了具有不同网络拓扑的量子网络在噪声下能够维持通信能力的最长时间。我们通过幅度阻尼和相位阻尼噪声下特定图的例子展示了该框架的结果。根据所提出的框架，我们进一步考虑了噪声环境中量子网络的容量。该分析框架有助于我们更好地理解量子网络的演化时间，并为设计大型量子网络提供参考。
