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Measurement based controlled not gate for topological qubits in a Majorana fermion and quantum-dot hybrid system

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Abstract

We propose a scheme to implement controlled not gate for topological qubits in a quantum-dot and Majorana fermion hybrid system. Quantum information is encoded on pairs of Majorana fermions, which live on the the interface between topologically trivial and nontrivial sections of a quantum nanowire deposited on an s-wave superconductor. A measurement based two-qubit controlled not gate is produced with the help of parity measurements assisted by the quantum-dot and followed by prescribed single-qubit gates. The parity measurement, on the quantum-dot and a topological qubit, is achieved by the Aharonov-Casher effect.

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Authors and Affiliations

  1. Laboratory of Quantum Information Technology, and School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou, 510006, P.R. China

    Zheng-Yuan Xue

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  1. Zheng-Yuan Xue
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Correspondence to Zheng-Yuan Xue.

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Xue, ZY. Measurement based controlled not gate for topological qubits in a Majorana fermion and quantum-dot hybrid system. Eur. Phys. J. D 67, 89 (2013). https://doi.org/10.1140/epjd/e2013-30582-y

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  • DOI: https://doi.org/10.1140/epjd/e2013-30582-y

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