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Minimal universal library for reversible circuits
Authors:Guowu Yang  Xiaoyu Song  Marek A Perkowski  William NN Hung  Chang-Jun Seo
Affiliation:

aUniversity of Electronic Science and Technology of China, Sichuan, China

bDepartment ECE, Portland State University, OR, USA

cDepartment of EIRE, Inje University, Republic of Korea

Abstract:Reversible logic plays an important role in quantum computing. Several papers have been recently published on universality of sets of reversible gates. However, a fundamental unsolved problem remains: “what is the minimum set of gates that are universal for n-qubit circuits without ancillae bits”. We present a library of 2 gates which is sufficient to realize all reversible circuits of n variables. It is a minimal library of gates for binary reversible logic circuits. We also analyze the complexity of the syntheses.
Keywords:Reversible logic  Syntheses  Permutation
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