title: Quantum gates by periodic driving.
abstract: Topological quantum computation has been extensively studied in the past decades due to its robustness against decoherence. One way to realize the topological quantum computation is by adiabatic evolutions-it requires relatively long time to complete a gate, so the speed of quantum computation slows down. In this work, we present a method to realize single qubit quantum gates by periodic driving. Compared to adiabatic evolution, the single qubit gates can be realized at a fixed time much shorter than that by adiabatic evolution. The driving fields can be sinusoidal or square-well field. With the sinusoidal driving field, we derive an expression for the total operation time in the high-frequency limit, and an exact analytical expression for the evolution operator without any approximations is given for the square well driving. This study suggests that the period driving could provide us with a new direction in regulations of the operation time in topological quantum computation.
authors.affiliation: Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun 130024, China.|School of Physics and Optoelectronic Technology Dalian University of Technology, Dalian 116024, China.
authors.forename: Z C
authors.initials: ZC
authors.lastname: Shi
authors.affiliation: Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun 130024, China.
authors.forename: W
authors.initials: W
authors.lastname: Wang
authors.affiliation: Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun 130024, China.
authors.forename: X X
authors.initials: XX
authors.lastname: Yi