The conditional mutual information (CMI) ##IMG## [http://ej.iop.org/images/1751-8121/53/30/305302/aab93fdieqn1.gif] {$\mathcal{I}\left(A:C\vert B\right)$} quantifies the amount of correlations shared between A and C given B . It therefore functions as a more general quantifier of bipartite correlations in multipartite scenarios, playing an important role in the theory of quantum Markov chains. In this paper we carry out a detailed study on the behavior of the CMI in non-equilibrium steady-states (NESS) of a quantum chain placed between two baths at different temperatures. These results are used to shed light on the mechanisms behind ballistic and diffusive transport regimes and how they affect correlations between different parts of a chain. We carry our study for the specific case of a 1D bosonic chain subject to local Lindblad dissipators at the boundaries. In addition, the chain is also subject to self-consistent reservoirs at ...

中文翻译：

---

弹道与扩散非平衡稳态的条件互信息分析

条件互信息（CMI）## IMG ## [http://ej.iop.org/images/1751-8121/53/30/305302/aab93fdieqn1.gif] {$ \ mathcal {I} \ left（A ：C \ vert B \ right）$}量化给定B的A和C之间共享的相关量。因此，它在多部分场景中可作为二部分相关性的更一般的量词，在量子马尔可夫链理论中起着重要的作用。在本文中，我们对CMI在不同温度下位于两个镀液之间的量子链的非平衡稳态（NESS）中的行为进行了详细研究。这些结果用于阐明弹道和扩散运输制度背后的机制，以及它们如何影响链条不同部分之间的相关性。我们针对一维Bosonic链的特定情况进行研究，该情况取决于边界处的本地Lindblad耗散器。此外，该链还受制于...