Demonstrating non-Abelian statistics of Majorana fermions using twist defects

A Majorana fermion model on a 2D lattice with twist defects
December 31, 2015

Our paper on Majorana fermions using twist defects is published in Phys. Rev. B.

We study the twist defects in the toric code model introduced by Bombin. Using a generalized two-dimensional Jordan-Wigner transformation and a projective construction, we show explicitly that twist defects carry unpaired Majorana zero modes. In addition, we propose a quantum nondemolition measurement scheme of the parity of Majorana modes. Such a scheme provides an alternative avenue to demonstrate the non-Abelian statistics of Majorana fermions. The braiding operation is simulated by a nonrepetitive measurement-based approach which removes the uncertainty associated with forced measurements.

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