Loading...

Quantum 2-body hamiltonian for topological color codes

Bombin, H ; Sharif University of Technology | 2009

374 Viewed
  1. Type of Document: Article
  2. DOI: 10.1002/prop.200900084
  3. Publisher: 2009
  4. Abstract:
  5. We introduce a two-body quantum Hamiltonian model with spins1/2 located on the vertices of a 2D spatial lattice. The model exhibits an exact topological degeneracy in all coupling regimes. This is a remarkable non-perturbative effect. The model has a Z2 ×Z2 gauge group symmetry and string-net integrals of motion. There exists a gapped phase in which the low-energy sector reproduces an effective topological color code model. High energy excitations fall into three families of anyonic fermions that turn out to be strongly interacting. All these, and more, are new features not present in honeycomb lattice models like Kitaev model. © 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
  6. Keywords:
  7. Quantum computation ; Quantum lattice hamiltonians ; Topological orders
  8. Source: Fortschritte der Physik ; Volume 57, Issue 11-12 , 2009 , Pages 1103-1110 ; 00158208 (ISSN)
  9. URL: https://onlinelibrary.wiley.com/doi/10.1002/prop.200900084