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Synthesis of reversible circuits with minimal costs
Authors:Guowu Yang  Xiaoyu Song  William N N Hung  Marek A Perkowski  Chang-Jun Seo
Affiliation:(1) University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, China;(2) Portland State University, Portland, USA;(3) Dept. of EIRE, Inje University, Inje, Korea
Abstract:We present fast algorithms to synthesize exact minimal reversible circuits for various types of gate and cost. By reducing reversible logic synthesis problems to permutation group problems, we use the powerful algebraic software GAP to solve such problems. Our approach can minimize for arbitrary cost functions of gates. In addition, we show that Peres gates are a better choice than the standard Toffoli gates in libraries of universal reversible gates. This work was supported by the NNSF of China under Grant 60773205 and the Fund of Cultivating Leading Scholars in UESTC.
Keywords:Circuits  networks  switching theory  application of Boolean algebra  Boolean function  discrete mathematics in relation to computer science  combinatorics
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