The simulation of non-Abelian statistics of Majorana fermions in Ising chain with Z2 symmetry
Xiao-Ming Zhao, Jing Yu, Jing He +3 more
In this paper, we numerically study the non-Abelian statistics of the zero-energy Majorana fermions at the end of Majorana chain and show its application to quantum computing by mapping it to a spin model with special symmetry. In particular, by using transverse-field Ising model with Z2 symmetry, we verify the nontrivial non-Abelian statistics of Majorana fermions. Numerical evidence and comparison in both Majorana representation and spin representation are presented. The degenerate ground states of a symmetry protected spin chain therefore provide a promising platform for topological quantum computation.
arXiv:1602.07444•Modern Physics Letters B•Apr 13, 2017•4 citations