Fast-Forward Method of Adiabatic Dynamics for a Spin-1/2 Particle Single Qubit System
Ryan Sugihakim (a*), Iwan Setiawan (b), Bobby Eka Gunara (a)

a) Theoretical and High Energy Physics, Department of Physics, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, Indonesia
*ryan.s.hakim[at]gmail.com
b) Physics Education Department, University of Bengkulu, Kandang Limun, Bengkulu 38371, Indonesia

Abstract

Controlling adiabatic quantum dynamics, i.e. using slowly-changing parameters to keep the energy level of the state of the system unchanged, is useful to obtain a geometric phase known as Berry phase. This geometric phase can be used to design a quantum logic gate in quantum computation. Motivated by this, we present a technique to achieve the Berry phase and its acceleration of the adiabatic dynamics based on the fast-forward technique developed by Masuda-Nakamura. The method is applied to a single qubit system of a spin-1/2 particle interacting with external magnetic field. The result of this paper is a transformation of the Hamiltonian from the adiabatic dynamics to its accelerated version of such dynamics.

Keywords: shortcuts to adiabaticity- fast-forward method- qubit- geometric quantum computation

Topic: Nanomaterial and Nanotechnology