In this work, we analyse how to define a conditional version of Sibson's $\alpha$-Mutual Information. Several such definitions can be advanced and they all lead to different information measures with different (but similar) operational meanings. We will analyse in detail one such definition, compute a closed-form expression for it and endorse it with an operational meaning while also considering some applications. The alternative definitions will also be mentioned and compared.

翻译：在这项工作中,我们分析如何定义一个有条件的Sibson $\alpha$- Mutual Information 的有条件版本。 几个这样的定义可以向前推进,它们都会导致不同(但相似)操作含义的不同信息计量。 我们将详细分析一个这样的定义,为其计算一个封闭式表达方式,并认可具有操作含义的定义,同时考虑一些应用。 替代定义也将被提及和比较。