On synthesis of 3 x 3 reversible logic functions

International Journal of Computer Mathematics

Volumn 82, Issue 4, 2005, Pages 385-390

  Gu, Ming ^a   Yang, Guowu ^b   Song, Xiaoyu ^b,c   Sun, Jiaguang ^a  

^a TSINGHUA UNIVERSITY   (China)

^b PORTLAND STATE UNIVERSITY   (United States)

^c Portland State University   (United States)

Author keywords

Boolean functions; Group theory; Logic synthesis; Reversible logic

Indexed keywords

BOOLEAN FUNCTIONS; QUANTUM THEORY;

GROUP THEORY; LOGIC SYNTHESIS; REVERSIBLE LOGIC;

FUNCTIONS;

EID: 27944484878     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/0020716042000301815     Document Type: Article

References (14)

1. Landauer, R., 1961, IBM Journal of Research and Development, 5, 183-191.
2. Bennett, C., 1973, IBM Journal of Research and Development, 17, 525-532.
3. Storme, L., De Vos, A. and Jacobs, G. 1999, Journal of Universal Computer Science, 5, 307-321.
4. Song, X., Yang, G., Perkowski, M. and Gu, M., 2004, Theory of Computing Systems (Mathematical Systems Theory), in press.
5. Khlopotine, A. Perkowski, M. and Kerntopf, P., 2002, Procedure of the IEEE/ACM International Workshop on Logic Synthesis, 261-266.
6. Toffoli, T., 1981, Mathematical Systems Theory, 14, 13-23.
7. Fredkin, E. and Toffoli, T., 1982, International Journal of Theoretical Physics, 21, 219-253.
8. Smolin, J.A. and DiVincenzo, D.P., 1996, Physical Review A, 53, 2855-2856.
9. Dixon, J.D. and Mortimer, B., 1996, Permutation Groups (New York: Springer).
10. Kargapolov, M.I. and Merzljakov, J.I., 1979, Fundamentals of the Theory of Groups (New York: Springer-Verlag).
11. Feynmann, R.P., 1985, Optic News, 11, 11-20.
12. Peres, A., 1985, Physical Review A, 32, 3266-3276.
13. Perkowski, M. et al., 2003, Proceedings of the 6th International Symposium on Representations and Methodology of Future Computing Technologies (RM 2003), 201-209.
14. Schonert, M. et al., 1995, GAP-Group, Algorithms, and Programming. Lehrstuhl D fur Mathematik, (5th edn) (Aachen, Germany: Rheinisch Westfalische Technische Hochschule).