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

TL;DR

This paper proposes a scheme using semiconducting nanowire networks to demonstrate the non-Abelian statistics of Majorana fermions, with implications for topological quantum computation.

Contribution

It introduces a novel method to detect non-Abelian statistics of Majorana fermions via braiding operations and superconducting flux qubits.

Findings

Different braid orders produce distinguishable quantum states.

The scheme enables unambiguous detection of Majorana non-Abelian statistics.

Potential application in topological quantum computing.

Abstract

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.