Recent Developments on Mapping Reversible Circuits to Quantum Gate Libraries

This paper reviews recent developments on mapping reversible circuits to libraries of elementary quantum gates. The emphasis is on optimization of both the initial reversible circuit and the resulting quantum circuit. At the quantum level, improved realizations of single mixed-polarity multiple-control Toffoli gates are presented as well as techniques for performing quantum gate optimizations across Toffoli gate boundaries. Experimental results show the effectiveness of the methods presented using circuits from the REVLIB benchmark suite.