以Toffoli门族为基础,采用ESOP综合方法设计了一种4位可逆二进制加/减法器。引入了“共享控制位提取”的优化方法,并提出一种“传输线复用”的新思路,对可逆电路进行了优化。利用Quartus II软件进行了电路仿真,结果表明,该加/减法器的性能指标达到设计目标。该电路的量子代价、辅助输入、垃圾输出等性能指标均有较大程度的优化。 Based on the Toffoli family, a 4-bit reversible binary adder / subtracter is designed using the ESOP synthesis method. The optimization method of “shared control bit extraction” was introduced and a new idea of ​​“transmission line multiplexing” was put forward to optimize the reversible circuit. The circuit emulation with Quartus II software shows that the performance of the adder / subtractor meets the design goals. The circuit’s quantum performance, auxiliary input, garbage output and other performance indicators have a greater degree of optimization.