The synthesis method of quantum reversible logic circuits based on the genetic algorithm was studied.The multi-objective optimal design of reversible logic circuit's function

the number of quantum gates

the number of garbage bits and quantum cost was achieved by new synthesis method.The mathematical model for quantum reversible logic circuit synthesis was established

the matrix encoding method of quantum reversible logic circuits was proposed

the evolution operations and the multi-objective evolutionary algorithm for quantum reversible logic circuit design were developed.The 8 bits reversible multiplier was designed as an example

the experimental results show that the proposed multi-objective evolutionary design method for quantum reversible logic circuit synthesis is correct and effective.