Eur. Phys. J. D (2013) 67: 89
https://doi.org/10.1140/epjd/e2013-30582-y

Regular Article

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

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

^a e-mail: zyxue@scnu.edu.cn

Received: 21 September 2012
Received in final form: 15 February 2013
Published online: 30 April 2013

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.