论文标题

统一8-vertex模型和曲折代码模型的相关不平等现象

Correlation inequalities for the uniform 8-vertex model and the toric code model

论文作者

Björnberg, Jakob E., Lees, Benjamin

论文摘要

我们阐明了统计物理学和概率理论的四个模型之间的连接:(1)Kitaev的复曲面代码模型,(2)统一的八个Vertex模型,(3)在超数据集中随机步行,以及(4)具有四体相互作用的经典ISING模型。由于我们的分析(以及ISING模型的GKS-质量)的结果,我们获得了感谢您的八角形模型和统一的八个vertex模型的相关性不平等。

We elucidate connections between four models in statistical physics and probability theory: (1) the toric code model of Kitaev, (2) the uniform eight-vertex model, (3) random walk on a hypercube, and (4) a classical Ising model with four-body interaction. As a consequence of our analysis (and of the GKS-inequalities for the Ising model) we obtain correlation inequalities for the toric code model and the uniform eight-vertex model.

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