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arXiv · 1602.07444

The Simulation of Non-Abelian Statistics of Majorana Fermions in Ising Chain with Z2 Symmetry

Xiao-Ming Zhao·Jing Yu·Jing He·Qiu-Bo Cheng·Ying Liang·Su-Peng Kou
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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.

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Xiao-Ming Zhao, Jing Yu, Jing He, Qiu-Bo Cheng, Ying Liang, Su-Peng Kou. 2016-03-30. The Simulation of Non-Abelian Statistics of Majorana Fermions in Ising Chain with Z2 Symmetry. https://doi.org/10.1142/s0217984917501238

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