Single qubit and its universal logic gate made of an annular spin cluster with anisotropic Heisenberg-chain
Xiao-Bo Yan, Shun-Jin Wang, (1)四川大学物理系,成都 610064; (2)四川大学物理系,成都 610064;兰州重离子加速器国家实验室,兰州 730000 · Acta Physica Sinica · 2006
We investigate an annular spin cluster made of three particles with anisotropic Heisenberg-chain controlled by a time-dependent magnetic field. The system has an SU(2) algebraic structure. Using algebraic dynamical method, we have obtained the exact analytical solution to the time dependent Schrdinger equation. Based on the analytical solution, it is shown that the system can be used as a universal single qubit logic gate controlled by the strength and frequency of the magnetic field, and consequently six special single qubit logic gates can be realized.