Information-theoretical analysis of topological entanglement entropy and multipartite correlations
Abstract
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.
Keywords
Cite
@article{arxiv.1505.01917,
title = {Information-theoretical analysis of topological entanglement entropy and multipartite correlations},
author = {Kohtaro Kato and Fabian Furrer and Mio murao},
journal= {arXiv preprint arXiv:1505.01917},
year = {2016}
}
Comments
13 pages, 4 figures included, article submitted to Physical Review A. v2: The title is changed. A result for Kitaev-Preskill type configuration is added. The partial results for systems with finite correlation length are improved