P. Kerntopf was supported in part by the Polish Ministry of Science and Higher Education under Grant 4180/B/T02/2010/38.
Facta universitatis-series: Electronics and Energetics
Reversible computing, Quantum computers, Logic circuits -- Design and construction
We present a novel approach to the synthesis of incompletely specified reversible logic functions. The method is based on cube grouping; the first step of the synthesis method analyzes the logic function and generates groupings of same cubes in such a manner that multiple sub-functions are realized by a single Toffoli gate. This process also reorders the function in such a manner that not only groups of similarly defined cubes are joined together but also don’t care cubes. The proposed method is verified on standard benchmarks for both reversible and irreversible logic functions. The obtained results show that for functions with a significant portion of don’t cares the proposed method outperforms previously proposed synthesis methods.
Lukac, Martin, Michitaka Kameyama, Marek Perkowski, and Pawel Kerntopf. "Decomposition of reversible logic function based on cube-reordering." Facta universitatis-series: Electronics and Energetics 24, no. 3 (2011): 403-422.