This book presents for the first time comprehensive and systematic methods for the reversible synthesis of logic functions and multi-dimensional logic circuits. This methodology is able to solve major problems in system design today and in the future, namely the high rate of power consumption, and the emergence of quantum effects and properties for highly dense and nano-scale ICs. The challenge is to design nano-scale reliable systems that consume as little power as possible and in which the signals are processed and transmitted at very high speeds with very high signal integrity. Researchers in academia or industry and graduate students, who work in logic synthesis, computer design, computer-aided design tools, and low power VLSI circuit design, will be interested in this book