Constructing a universal operation scheme for Majorana qubits remains a central issue for the topological quantum computation. We study the Landau-Zener-St\"{u}ckelberg interference in a Majorana qubit and show that this interference can be used to achieve controllable operations. The Majorana qubit consists of an rf SQUID with a topological nanowire Josephson junction which hosts Majorana bound states. In the SQUID, a magnetic flux pulse can drive the quantum evolution of the Majorana qubit. The qubit experiences two Landau-Zener transitions when the amplitude of the pulse is tuned around the superconducting flux quanta 2e/ℏ. The Landau-Zener-St\"{u}ckelberg interference between the two transitions rotates the Majorana qubit, with the angle controlled by the time scale of the pulse. This rotation operation implements a high-speed single-qubit gate on the Majorana qubit, which is a necessary ingredient for the topological quantum computation.
@article{arxiv.1504.03055,
title = {Manipulating the Majorana Qubit with the Landau-Zener-St\"{u}ckelberg Interference},
author = {Wen-Chao Huang and Qi-Feng Liang and Dao-Xin Yao and Zhi Wang},
journal= {arXiv preprint arXiv:1504.03055},
year = {2015}
}