Detecting non-Abelian statistics of Majorana fermions in quantum nanowire networks |
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Authors: | Z -Y Xue |
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Institution: | 1.Laboratory of Quantum Information Technology, School of Physics and Telecommunication Engineering,South China Normal University,Guangzhou,People’s Republic of China |
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Abstract: | A scheme in semiconducting quantum nanowire structure has been proposed 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. |
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