Gaussian noise channels (also called classical noise channels, bosonic Gaussian channels) arise naturally in continuous variable quantum information and play an important role in both theoretical analysis and experimental investigation of information transmission. After reviewing concisely the basic properties of these channels, we introduce an information-theoretic measure for the decoherence of optical states caused by these channels in terms of averaged Wigner-Yanase skew information, explore its basic features, obtain a scaling law, and derive a complementarity relation between the decoherence and the quantum affinity. As an application of the decoherence measure, we derive a convenient and sufficient criterion for detecting optical nonclassicality. The decoherence on some typical optical states caused by Gaussian noise channels are explicitly evaluated to illustrate the concept.

高斯噪声通道（也称为经典噪声通道，玻色高斯通道）自然地出现在连续可变量子信息中，并且在信息传输的理论分析和实验研究中均起着重要作用。在简要回顾了这些通道的基本特性之后，我们针对平均Wigner-Yanase偏斜信息，介绍了一种信息理论方法，用于测量由这些通道引起的光学状态的不相干性，探索其基本特征，获得缩放定律，并推导出一个退相干与量子亲和力之间的互补关系。作为消相干测度的一种应用，我们推导了一种方便且充分的判据来检测光学非经典性。