标题： 拓扑纠缠熵满足全息熵不等式 显示英文标题

标题： Topological entanglement entropy meets holographic entropy inequalities

摘要： 拓扑纠缠熵（TEE）是检测有能隙哈密顿量基态中拓扑秩序的一种有效方法。 Kitaev和Preskill~\cite{preskill-kitaev-tee}的开创性工作以及Levin和Wen~\cite{levin-wen-tee}同时提出的信息量可以探测TEE。 在本工作中，我们解释为什么所提出的信息量中的减法方案~\cite{levin-wen-tee,preskill-kitaev-tee}能用于计算TEE，并通过明确指出信息量捕捉TEE的必要条件，将其推广到任意数量的子区域。 我们的条件将由Kitaev-Preskill和Levin-Wen定义的探针分为不同的类别。 虽然存在无限多种可能的TEE探针，但我们特别关注循环量$Q_{2n+1}$和多信息$I_n$。 我们还证明，全息熵不等式由具有质量间隙的二维拓扑有序介质非简并基态的量子纠缠熵满足。 显示英文摘要

摘要： Topological entanglement entropy (TEE) is an efficient way to detect topological order in the ground state of gapped Hamiltonians. The seminal work of Kitaev and Preskill~\cite{preskill-kitaev-tee} and simultaneously by Levin and Wen~\cite{levin-wen-tee} proposed information quantities that can probe the TEE. In the present work, we explain why the subtraction schemes in the proposed information quantities~\cite{levin-wen-tee,preskill-kitaev-tee} work for the computation of TEE and generalize them for arbitrary number of subregions by explicitly noting the necessary conditions for an information quantity to capture TEE. Our conditions differentiate the probes defined by Kitaev-Preskill and Levin-Wen into separate classes. While there are infinitely many possible probes of TEE, we focus particularly on the cyclic quantities $Q_{2n+1}$ and multi-information $I_n$. We also show that the holographic entropy inequalities are satisfied by the quantum entanglement entropy of the non-degenerate ground state of a topologically ordered two-dimensional medium with a mass gap.