Detecting non-Abelian statistics of Majorana fermions in quantum nanowire networks

Details Detecting non-Abelian statistics of Majorana fermions in quantum nanowire networks Detecting non-Abelian statistics of Majorana fermions in quantum nanowire networks

2011-06-25

arxiv.org/abs/1106.5091v2

JETP Letters 94, 213 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

V1, accepted for publication at JETP Letters; v2, typos corrected

Scientific paper

10.1134/S002136401115015X

We propose a scheme in semiconducting quantum nanowires structure to demonstrate the non-Abelian statistics for Majorana fermions in terms of braid group. The Majorana fermions are localized at the endpoints of semiconducting wires, which are deposited on an \emph{s}-wave superconductor. The non-Abelian nature of Majorana fermion is manifested by the fact that the output of the different applied orders of two operations, constructed by the braid group elements, are different. In particular, the difference can be unambiguously imprinted on the quantum states of a superconducting flux qubit.

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