由各向异性海森伯自旋环链组成的量子位及其通用量子逻辑门  

Single qubit and its universal logic gate made of an annular spin cluster with anisotropic Heisenberg-chain

作　　者：严晓波[1] 王顺金[1] 

机构地区：[1]四川大学物理系,成都610064

出　　处：《物理学报》2006年第4期1591-1595,共5页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:90503008;10375039);教育部博士点基金;中国科学院兰州重离子加速器国家实验室基金资助的课题.

摘　　要：研究了各向异性耦合的三粒子海森伯自旋环链团簇在随时间变化的磁场中的运动.该系统的哈密顿量具有SU(2)代数结构.用代数动力学方法对此系统进行求解,得到了严格的解析解.基于严格解,可以构造一位量子逻辑门.通过调节磁场强度和频率,就可以控制该量子逻辑门,实现一位量子逻辑门的任何操作.We investigate an annular spin cluster made of three particles with anisotropic Heisenberg-chain controlled by a timedependent 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 Schroedinger 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.

关 键 词：代数动力学 自旋环链团簇 一位量子逻辑门 各向异性耦合 

分 类 号：O413.1[理学—理论物理]