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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

Displaying all lectures given by: Hector Bombin


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

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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