Quantum gates by periodic driving

Z. C. Shi, X. X. Yi

Published 2015-05-19Version 1

Topological quantum computation has been extensively studied recently due to its robustness against decoherence. A conventional way to realize an quantum operation is by adiabatic evolution---it requires a relatively long time to complete the operation that reduces the speed of quantum computation and might cause errors. In this work, we present a method to realize the operations in topological quantum computation by periodic driving. Compared to the adiabatic evolution, the total operation time can be sharply shortened due to the quasi-energy structure of the system determined by the amplitude and frequency of the periodic driving. We derive an analytical expression for the evolution operator when the driving field is a square function of time, we show that the amplitude of driving is flexible depending on its period and total operation time. This could provide a new direction in modulation of the operation time for topological quantum computation.