基于二维囚禁离子实现受控非门、交换门和相位门

研究了二维囚禁离子与光场相互作用系统中几种基本量子逻辑门的实现方案.通过适当选取激光场与离子内部跃迁频率的失谐量，简化了系统的哈密顿量，并进一步推导出受控非门(C-NOT门)、交换门与相位门的实现方法.在此过程中，系统需满足Lamb-Dicke极限，并要求光场的Rabi振荡频率远远小于离子的振动频率. 关键词： 囚禁离子 受控非门(C-NOT门) 交换门 相位门

Generation of C-NOT gate, swap gate and phase gate based on a two-dimensional ion trap

We study the realization of quantum logic gates in the interacting system of a two-dimensional trapped ion and two laser beams. We simplify the Hamiltonian of the system by Choosing the frequency detuning of laser fields and the transition frequency between the internal states of the ion, and furthermore，we describe the realization of a C-NOT gate, a swap gate and a phase gate. During these processes, the system needs to meet the Lamb-Dicke limit, and the Rabi oscillation frequency should be far smaller than the phonon frequency.