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Title: Topological order in 1D Cluster state protected by symmetry
Authors: Son, W.
Amico, L.
Vedral, V. 
Keywords: Cluster state
Topological order in many-body quantum systems
Issue Date: Dec-2012
Citation: Son, W., Amico, L., Vedral, V. (2012-12). Topological order in 1D Cluster state protected by symmetry. Quantum Information Processing 11 (6) : 1961-1968. ScholarBank@NUS Repository.
Abstract: 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 arises because the set of stabilizers do not span a complete set of integrals of motion of the cluster state Hamiltonian for open boundary conditions. By applying control phase transformations, our construction makes the stabilizers into the Pauli operators spanning the qubit Hilbert space from which the degeneracy comes. © Springer Science+Business Media, LLC 2011.
Source Title: Quantum Information Processing
ISSN: 15700755
DOI: 10.1007/s11128-011-0346-7
Appears in Collections:Staff Publications

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