Information-theoretical analysis of topological entanglement entropy and multipartite correlations
Information-theoretical analysis of topological entanglement entropy and multipartite correlations
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DOI：
10.1103/physreva.93.022317
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发表时间：
2015-05
影响因子：
2.9
通讯作者：
Kohtaro Kato;F. Furrer;M. Murao
中科院分区：
文献类型：
--
作者：
Kohtaro Kato;F. Furrer;M. Murao
在拓扑有序相的基态的一个特殊功能是存在的大规模的相关性只依赖于区域的拓扑结构。这些关联可以通过拓扑纠缠熵或一种称为不可约关联的度量来检测。我们表明，这两个措施符合国家遵守面积法和零相关长度。此外，我们提供了一个操作意义，这些措施证明其等价于一个特定类别的秘密共享协议的最优速率。这建立了一个信息理论的方法，在拓扑有序系统的多部相关性。
A special feature of the ground state in a topologically ordered phase is the existence of large scale correlations depending only on the topology of the regions. These correlations can be detected by the topological entanglement entropy or by a measure called irreducible correlation. We show that these two measures coincide for states obeying an area law and having zero-correlation length. Moreover, we provide an operational meaning for these measures by proving its equivalence to the optimal rate of a particular class of secret sharing protocols. This establishes an information-theoretical approach to multipartite correlations in topologically ordered systems.