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Quantum synchronization has emerged as a crucial phenomenon in quantumnonlinear dynamics with potential applications in quantum informationprocessing. Multiple measures for quantifying quantum synchronization exist.However, there is currently no widely agreed metric that is universallyadopted. In this paper, we propose using classical and quantum Fisherinformation (FI) as alternative metrics to detect and measure quantumsynchronization. We establish the connection between FI and quantumsynchronization, demonstrating that both classical and quantum FI can bedeployed as more general indicators of quantum phase synchronization, in someregimes where all other existing measures fail to provide reliable results. Weshow 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 ofdissipation and decoherence. Our results open up new avenues for understandingand exploiting quantum synchronization.

Fisher information as general metrics of quantum synchronization