Algebraic Characterization of Reversible Logic Gates.

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Bibliographic Details
Title: Algebraic Characterization of Reversible Logic Gates.
Authors: Xiaoyu Song1 song@ece.pdx.edu, Guowu Yang1, Perkowski, Marek1 mperkows@ece.pdx.edu, Yuke Wang2 yuke@utdallas.edu
Source: Theory of Computing Systems. Mar/Apr2006, Vol. 39 Issue 2, p311-319. 9p. 3 Charts.
Subjects: Computer arithmetic & logic units, Computer logic, Boolean algebra, Quantum computers, Computer circuits, Computer systems
Abstract: Reversible logic plays an important role in quantum computing. This paper investigates the universality and composition power of various known and new reversible gates. We present the algebraic characterization of selected new families of Boolean reversible gates. Some theoretical results on the relation between reversible w*w gates and the corresponding symmetric group are derived. Different combinations of reversible gate classes are proven to generate the entire class of reversible w*w gates. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:Reversible logic plays an important role in quantum computing. This paper investigates the universality and composition power of various known and new reversible gates. We present the algebraic characterization of selected new families of Boolean reversible gates. Some theoretical results on the relation between reversible w*w gates and the corresponding symmetric group are derived. Different combinations of reversible gate classes are proven to generate the entire class of reversible w*w gates. [ABSTRACT FROM AUTHOR]
ISSN:14324350
DOI:10.1007/s00224-004-1166-2