Generalized color codes supporting non-Abelian anyons
Abstract
We propose a generalization of the color codes based on finite groups G . For non-Abelian groups, the resulting model supports non-Abelian anyonic quasiparticles and topological order. We examine the properties of these models such as their relationship to Kitaev quantum double models, quasiparticle spectrum, and boundary structure.
- Publication:
-
Physical Review A
- Pub Date:
- April 2015
- DOI:
- 10.1103/PhysRevA.91.042333
- arXiv:
- arXiv:1408.6238
- Bibcode:
- 2015PhRvA..91d2333B
- Keywords:
-
- 03.67.Ac;
- 03.65.Vf;
- 71.10.-w;
- Quantum algorithms protocols and simulations;
- Phases: geometric;
- dynamic or topological;
- Theories and models of many-electron systems;
- Quantum Physics
- E-Print:
- 17 pages, 8 figures