Shen Yuan, Soh Hong Yi, Kwek Leong-Chuan, Fan Weijun
School of Electrical and Electronic Engineering, Nanyang Technological University, Block S2.1, 50 Nanyang Avenue, Singapore 639798, Singapore.
National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore 637616, Singapore.
Entropy (Basel). 2023 Jul 26;25(8):1116. doi: 10.3390/e25081116.
Quantum synchronization has emerged as a crucial phenomenon in quantum nonlinear dynamics with potential applications in quantum information processing. Multiple measures for quantifying quantum synchronization exist. However, there is currently no widely agreed metric that is universally adopted. In this paper, we propose using classical and quantum Fisher information (FI) as alternative metrics to detect and measure quantum synchronization. We establish the connection between FI and quantum synchronization, demonstrating that both classical and quantum FI can be deployed as more general indicators of quantum phase synchronization in some regimes where all other existing measures fail to provide reliable results. We show advantages in FI-based measures, especially in 2-to-1 synchronization. Furthermore, we analyze the impact of noise on the synchronization measures, revealing the robustness and susceptibility of each method in the presence of dissipation and decoherence. Our results open up new avenues for understanding and exploiting quantum synchronization.
量子同步已成为量子非线性动力学中的一个关键现象，在量子信息处理中具有潜在应用。存在多种用于量化量子同步的方法。然而，目前尚无被广泛认可并普遍采用的度量标准。在本文中，我们提议使用经典和量子费希尔信息（FI）作为检测和测量量子同步的替代度量标准。我们建立了费希尔信息与量子同步之间的联系，证明在某些所有其他现有方法都无法提供可靠结果的情况下，经典和量子费希尔信息都可作为量子相位同步更通用的指标。我们展示了基于费希尔信息的方法的优势，特别是在二对一同步方面。此外，我们分析了噪声对同步度量的影响，揭示了每种方法在存在耗散和退相干情况下的稳健性和敏感性。我们的结果为理解和利用量子同步开辟了新途径。
