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Nested topological order



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Bombin, H. and Martín-Delgado Alcántara, Miguel Ángel (2011) Nested topological order. New journal of physics, 13 . ISSN 1367-2630

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Official URL: http://dx.doi.org/10.1088/1367-2630/13/12/125001


We introduce the concept of nested topological order in a class of exact quantum lattice Hamiltonian models with non-Abelian discrete gauge symmetry. The topological order present in the models can be partially destroyed by introducing a gauge symmetry reduction mechanism. When symmetry is reduced in several islands only, this imposes boundary conditions on the rest of the system, giving rise to topological ground-state degeneracy. This degeneracy is related to the existence of topological fluxes in between islands or, alternatively, hidden charges at islands. Additionally, island deformations give rise to extension of topological quantum computation beyond quasiparticles.

Item Type:Article
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© IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. We acknowledge financial support from research grant QUITEMAD S2009-ESP-1594, FIS2009-10061, UCM-BS/910758 and European STREP grant PICC.

Uncontrolled Keywords:Quantum computation; Symmetry.
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:47775
Deposited On:29 May 2018 10:56
Last Modified:29 May 2018 11:10

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