Design and optimization of quantum error-correction circuit with module

The 3-qubit error-correction quantum circuit is realized and optimized in the non-measuring condition.The modular thought is presented to design and optimize the quantum error-correction circuit. With the quantum bits increasing,the error-correction circuit of 3-qubits can be used in the error-correction circuit of 5-qubits as a module.The error-correction circuit of 5-qubits can be used in the error-correction circuit of 7-qubits.By parity of reasoning,the error-correction circuit of a few quantum bits can be used in the error-correction circuit of multiple quantum bits.The quantum error-correction circuit can be simplified and the redundant qubits can be reduced using the method.It can also make the quantum cost lower.