Generating topological order from a two-dimensional cluster state using a duality mapping

In this paper, we prove, extend and review possible mappings between the two-dimensional (2D) cluster state, Wen's model, the 2D Ising chain and Kitaev's toric code model. We introduce a 2D duality transformation to map the 2D lattice cluster state into the topologically ordered Wen model....

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Bibliographic Details
Main Authors: Brown, B, Son, W, Kraus, C, Fazio, R, Vedral, V
Format: Journal article
Language:English
Published: IOP Publishing 2011