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桶型位移器是高速处理器的常用部件,可在单周期内对数据字实现指定位数的位移操作,在量子可逆逻辑电路的基础上,提出了有n个输入位和m个控制位的位移器,记为(n,m)位移器.为综合可逆的位移器,提出了基于置换群分解的新方法,仅使用(3,1)位移器与控制交换门,快速生成较小量子代价的任意控制位移器,可将最小的k个相应的(n,1)位移器级联,生成可任意位移的(n,南)桶型位移器.

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