808 citations · 2.2k across the 39 of their papers we have counts for
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Topological order in 1D Cluster state protected by symmetry
Wonmin Son, Luigi Amico, Vlatko Vedral
We demonstrate how to construct the Z2*Z2 global symmetry which protects the ground state degeneracy of cluster states for open boundary conditions. Such a degeneracy ultimately ar…
Generating topological order from a 2D cluster state using a duality mapping
Benjamin J. Brown, Wonmin Son, Christina V. Kraus +2
In this paper we prove, extend and review possible mappings between the two-dimensional Cluster state, Wen's model, the two-dimensional Ising chain and Kitaev's toric code model. W…
Quantum phase transition between cluster and antiferromagnetic states
Wonmin Son, Luigi Amico, Rosario Fazio +3
We study a Hamiltonian system describing a three spin-1/2 cluster-like interaction competing with an Ising-like exchange. We show that the ground state in the cluster phase possess…