CNOT门是量子计算中重要的量子元件,尤其是在量子线路中的容错扩展矩形构造中应用广泛.然而,由于CNOT门扩展矩形容错构造中的容错辅助态的制备线路一般较为复杂,给CNOT门扩展矩形容错构造的设计与实现带来了不便.基于重叠法,提出一种新的(49,1,9)量子纠错码CNOT门扩展矩形容错构造,并简化了CNOT门扩展矩形容错构造的量子线路.研究结果表明:基于重叠法的CNOT门扩展矩形容错构造中所需要的CNOT门开销比传统的拉丁矩形法制备少224个.
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