J4 ›› 2017, Vol. 34 ›› Issue (2): 192-202.

• 量子光学 • 上一篇    下一篇

基于改进遗传算法的量子可逆电路综合

胡江,张巧文,王阳   

  1. 浙江万里学院
  • 收稿日期:2015-12-22 修回日期:2016-03-07 出版日期:2017-03-28 发布日期:2017-04-06
  • 通讯作者: 胡江

Improved Genetic Algorithm for Quantum Reversible Circuits Synthesis

  • Received:2015-12-22 Revised:2016-03-07 Published:2017-03-28 Online:2017-04-06

摘要: 针对可逆电路到量子电路的有效映射问题,提出带禁忌表的大变异自适应遗传算法及其量子可逆电路综合方法。该文选取量子非门、控制非门、控制V门与控制V+门(NCV)构成量子门库,建立量子电路计算模型,采用二进制串行编码方案,设计适应度函数、进化算子及优化规则,实现带禁忌表的大变异自适应遗传算法的量子可逆电路综合,并利用Revlib电路库进行测试。测试结果表明,该综合方法能同时得到多个功能解,且所生成电路的量子代价优于库中电路,验证了算法用于量子可逆电路综合的正确性和有效性。

关键词: 量子电路, 可逆逻辑综合, 大变异自适应遗传算法, 禁忌表, quantum circuits, reversible logic synthesis, big mutation adaptive genetic algorithm, tabu list

Abstract: In order to efficiently map reversible circuits to quantum circuits, a big mutation adaptive genetic algorithm with tabu list was proposed for quantum reversible circuits synthesis. The calculation model of quantum circuits was established. The generic coding scheme of reversible circuits, the design of fitness function and the operation of evolution operators were given. Using benchmarks in Revlib for testing the new synthesis method, the experimental results show that the synthesis method could simultaneously obtain multiple solutions and the quantum costs of the synthesized circuits were less than the circuits in Revlib.

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