Explicit tensor network representation for the ground states of string-net models

Abstract

The structure of string-net lattice models, relevant as examples of topological phases, leads to a remarkably simple way of expressing their ground states as a tensor network constructed from the basic data of the underlying tensor categories. The construction highlights the importance of the fat lattice to understand these models.

5 pages, pdf figures

References in corpus (4)

• Ground state entanglement and geometric entropy in the Kitaev's model
• Entanglement renormalization and topological order
• Entanglement and topological entropy of the toric code at finite temperature
• Completeness of the classical 2D Ising model and universal quantum computation

Cited by in corpus (2)

• Mapping Kitaev's quantum double lattice models to Levin and Wen's string-net models
• Assessing the accuracy of projected entangled-pair states on infinite lattices