On synthesis of 3 x 3 reversible logic functions.

Reversible logic plays an important role in quantum computing. This article presents some novel results on synthesis of 3 × 3 reversible Boolean gates. We derive the relationship between reversible 3 × 3 gates and corresponding symmetric groups. By introducing a set of universal libraries, we show how to use group theory to synthesize any 3 × 3 reversible gate. [ABSTRACT FROM AUTHOR]