However, current quantum devices are still at the noisy intermediate-scale quantum (NISQ) stage, and the noise, thermodynamic disturbances, and other external environmental interferences during quantum circuit operations often lead to errors in qubits. Compared to errors in classical computing, quantum computing errors are more complex and harder to correct, with the risk of errors propagating throughout the quantum circuit. Therefore, effectively reducing these quantum computing errors is crucial for advancing quantum computing technology.