RT Journal Article T1 Nested topological order A1 Bombin, H. A1 Martín-Delgado Alcántara, Miguel Ángel AB 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. PB IOP Publishing SN 1367-2630 YR 2011 FD 2011-12-01 LK https://hdl.handle.net/20.500.14352/42822 UL https://hdl.handle.net/20.500.14352/42822 LA eng NO © 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. NO Unión Europea. FP7 NO Ministerio de Ciencia e Innovación (MICINN) NO Comunidad de Madrid NO Universidad Complutense de Madrid/Banco de Santander NO European STREP DS Docta Complutense RD 27 abr 2024