The Simulation of Non-Abelian Statistics of Majorana Fermions in Ising Chain with Z2 Symmetry
arXiv:1602.07444 · doi:10.1142/S0217984917501238
Abstract
In this paper, we numerically study the non-Abelian statistics of the zero-energy Majorana fermions on 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 previde a promising platform for topological quantum computation.
5 pages,4 figures
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