In this paper, we investigate the synchronization of two quantum clocks using entangled qubits, and examine how environmental noise affects the system’s phase through decoherence theory. We demonstrate that, under certain conditions, the error in the final result of clock synchronization can be lower than that of current classical and quantum methods. Finally, we model the environment appropriately and apply an error correction method that takes into account the mean of the outcome over time, thus rendering the error of this method negligible.

中文翻译：

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退相干效应下的量子时钟同步

在本文中，我们使用纠缠量子位研究两个量子时钟的同步，并通过退相干理论研究环境噪声如何影响系统的相位。我们证明，在某些条件下，时钟同步最终结果的误差可以低于当前经典和量子方法的误差。最后，我们对环境进行适当的建模，并应用一种误差校正方法，该方法考虑了随时间变化的结果平均值，从而使该方法的误差可以忽略不计。