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。

A CNOT gate is an important quantum component for quantum computation, which is widely used in fault-tolerant extended-rectangle construction. However, the ancilla state preparation circuit is normally complicated in the construction of fault-tolerant extended-rectangle for quantum CNOT gates, which brings inconvenience in the design and implementation. A novel construction of fault-tolerant quantum CNOT gates using (49,1,9) quantum code is presented using overlap method to simplify the encoded ancilla preparation state circuit. The result shows that the construction is optimized and the number of CNOT gates needed is 224 less than that with the traditional Latin rectangle method.