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Efficient Algorithms for Optimal 4-Bit Reversible Logic System Synthesis
Joint Authors
Liu, Wenjie
Yang, Guowu
Chen, Hanwu
Li, Zhiqiang
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-08
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Owing to the exponential nature of the memory and run-time complexity, many methods can only synthesize 3-bit reversible circuits and cannot synthesize 4-bit reversible circuits well.
We mainly absorb the ideas of our 3-bit synthesis algorithms based on hash table and present the efficient algorithms which can construct almost all optimal 4-bit reversible logic circuits with many types of gates and at mini-length cost based on constructing the shortest coding and the specific topological compression; thus, the lossless compression ratio of the space of n-bit circuits reaches near 2×n!.
This paper presents the first work to create all 3120218828 optimal 4-bit reversible circuits with up to 8 gates for the CNT (Controlled-NOT gate, NOT gate, and Toffoli gate) library, and it can quickly achieve 16 steps through specific cascading created circuits.
American Psychological Association (APA)
Li, Zhiqiang& Chen, Hanwu& Yang, Guowu& Liu, Wenjie. 2013. Efficient Algorithms for Optimal 4-Bit Reversible Logic System Synthesis. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-460862
Modern Language Association (MLA)
Li, Zhiqiang…[et al.]. Efficient Algorithms for Optimal 4-Bit Reversible Logic System Synthesis. Journal of Applied Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-460862
American Medical Association (AMA)
Li, Zhiqiang& Chen, Hanwu& Yang, Guowu& Liu, Wenjie. Efficient Algorithms for Optimal 4-Bit Reversible Logic System Synthesis. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-460862
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-460862