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精确求解了自旋-1/2粒子在旋转磁场下的Bloch方程和Schrodinger方程.用此问题的循环解,得到了Aharonov-Anandan(AA)几何相和动力学相的解析结果,并用正交态方法构造了具有和乐几何量子计算优点的非绝热几何量子门.基于一般的SU(2)循环演化条件,还构造了只依赖轨道的绕数和扭结数的普适拓扑量子门.最后建议用非对称的约瑟夫森结纳米电路实现所构造的各种量子门.

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