PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE
 | Topological Order with a Twist: Ising Anyons from an Abelian Model Speaker(s): Hector Bombin
Abstract: Anyon models can be symmetric under some permutations of their topological charges. One can then conceive topological defects that, under monodromy, transform anyons according to a symmetry. We study the realization of such defects in the toric code model, showing that a process where defects ... read more
Date: 06/05/2013 - 11:45 am
Collection: Emergence & Entanglement II 2013
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 | PIRSA:09010008
( Flash Presentation , Windows Presentation , Windows Video File , MP3 , PDF) Which Format?
Interacting Anyonic Fermions in a Two-Body Color Code Model Speaker(s): Hector Bombin
Abstract: We introduce a two-body quantum Hamiltonian model of spin-1/2 on a 2D spatial lattice with exact topological degeneracy in all coupling regimes. There exists a gapped phase in which the low-energy sector reproduces an effective color code model. High energy excitations fall into three families of an... read more
Date: 21/01/2009 - 4:00 pm
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 | PIRSA:08040059
( Flash Presentation , Windows Presentation , Windows Video File , MP3 , PDF) Which Format?
Statistical Mechanical Models and Topological Color Codes. Speaker(s): Hector Bombin
Abstract: We find that the overlapping of a topological quantum color code state, representing a quantum memory, with a factorized state of qubits can be written as the partition function of a 3-body classical Ising model on triangular or Union Jack lattices. This mapping allows us to test that different comp... read more
Date: 29/04/2008 - 2:50 am
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