作　　者： ; ; ;

机构地区： 华南师范大学物理与电信工程学院

出　　处： 《云南大学学报（自然科学版）》 2005年第S2期9-16,共8页

摘　　要： 总结了近期对几何与拓扑量子计算领域的研究结果.基于本文给出的关于正交叠加态的一个严格定理,提出一种用正交态实现非绝热几何量子计算的方法,并用NMR旋转磁场下的自旋粒子和纳米非对称SQUID电路这2个二能级系统详细地演示了我们构造的量子门.应用本文的定理和推论也可圆满的解释早期有争议的Chiao R.Y.等的螺旋光纤实验.还提出用简单二能级系统构造拓扑量子门的方案,并用前面同样的2个二能级系统构造了几种基本的拓扑量子门.最后还简短讨论了用非对称纳米SQUID电路实现量子门的可操控性. This article summarizes the recent results about geometric and topologic quantum computation.Based on a rigorous theorem concerned on orthogonal superposition quantum state proved in this paper,an orthogonal state method is proposed to carry out the non-adiabatic geometric quantum computation.And these geometric quantum gates are demonstrated in detail by two two-level systems: one is the system of spin-1/2 particle under NMR uniform rotating magnetic field;the other is asymmetric nano-SQUID circuit.The paper presents a perfect explanation for the early controversial helical fiber experiment done by Chiao R.Y.,also proposes a scheme of constructing topologic gates and illustrates these gates still with above two two-level systems.Finally,a brief comment is given on the controllability of quantum gates with the asymmetric nano-SQUID circuit.

关 键 词： 正交态方法 螺旋光纤实验 非绝热几何量子计算 拓扑量子门

领　　域： [理学] [理学]