I identify a fundamental difference between classical and quantum dynamics in the linear response regime by showing that the latter is, in general, contextual. This allows me to provide an example of a quantum engine whose favorable power output scaling unavoidably requires nonclassical effects in the form of contextuality. Furthermore, I describe contextual advantages for local metrology. Given the ubiquity of linear response theory, I anticipate that these tools will allow one to certify the nonclassicality of a wide array of quantum phenomena.

中文翻译：

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通过量子线性响应的上下文来验证热力学和计量学中的量子签名

通过证明线性动力学通常是上下文相关的，我确定了线性动力学中经典动力学和量子动力学之间的根本区别。这使我能够提供一个量子引擎的示例，其良好的功率输出缩放不可避免地需要上下文形式的非经典效果。此外，我描述了本地度量的上下文优势。考虑到线性响应理论的普遍性，我预计这些工具将使人们能够证明各种量子现象的非经典性。