标题： 量子马尔可夫链在梳状图上的应用：伊辛模型 显示英文标题

标题： Quantum Markov Chains on the Comb graphs: Ising model

摘要： 在本文中，我们在梳状图上构建了量子马尔可夫链（QMC）。作为该构造的应用，证明了在梳状图上通过QMC方案的伊辛型模型存在无序相。此外，还确立了相关的QMC相对于图的平移具有聚类性质。我们强调，本文是第一篇给出非规则图上非平凡QMC示例的论文。 显示英文摘要

摘要： In the present paper, we construct quantum Markov chains (QMC) over the Comb graphs. As an application of this construction, it is proved the existence of the disordered phase for the Ising type models (within QMC scheme) over the Comb graphs. Moreover, it is also established that the associated QMC has clustering property with respect to translations of the graph. We stress that this paper is the first one where a nontrivial example of QMC over non-regular graphs is given.