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CONDENSED MATTER

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

Z.-Y. Xue

Laboratory of Quantum Information Technology, School of Physics and Telecommunication Engineering, South China Normal University

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 $s$-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.

Received: 17.06.2011

Language: English

 English version: Journal of Experimental and Theoretical Physics Letters, 2011, 94:3, 213–216

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