Browse > Article
http://dx.doi.org/10.13067/JKIECS.2014.9.4.447

A New Functional Synthesis Method for Macro Quantum Circuits Realized in Affine-Controlled NCV-Gates  

Park, Dong-Young (강릉원주대학교 정보통신공학과)
Jeong, Yeon-Man (강릉원주대학교 정보통신공학과)
Publication Information
The Journal of the Korea institute of electronic communication sciences / v.9, no.4, 2014 , pp. 447-454 More about this Journal
Abstract
Recently most of functional synthesis methods for quantum circuit realization have a tendency to adopt the declarative functional expression more suitable for computer algorithms, so it's difficult to analysis synthesized quantum functions. This paper presents a new functional representation of quantum circuits compatible with simple architecture and intuitive thinking. The proposal of this paper is a new functional synthesis development by using the control functions as the power of corresponding to affine-controlled quantum gates based on the mathematical substitution of serial-product matrix operation over the target line for the arithmetic and modulo-2 ones between power functions of unitary operators. The functional synthesis algorithm proposed in this paper is useful for the functional expressions and synthesis using both of reversible and irreversible affine-controlled NCV-quantum gates.
Keywords
Functional Representation; Functional Synthesis; Quantum Circuits; NCV-Quantum Gate; Affine-Controlled;
Citations & Related Records
연도 인용수 순위
  • Reference
1 M. Perkowski. Quantum Robotics. Springer Verlag, 2012.
2 M. M. Rahman, A. Baberjee, G. W. Dueck, and A. Pathak, "Two-Qubit Quantum Gates to Reduce the Quantum Cost of Reversible Circuit," IEEE 41th Int. Symp. on Multiple- Valued Logic, 2011. p. 86-92.
3 A. D. Vos and S. D. Baerdemacker, "The roots of the NOT gate," IEEE 42th Int. Symp. on Multiple-Valued Logic, 2012, pp. 167-172.
4 D. M. Miller, R. Wille, and Z.Sasanian, " Elementary Quantum Gate Realization for Multiple-Control Toffoli Gtaes," IEEE 41th Int. Symp. on Multiple-Valued Logic, 2011, pp. 288-293.
5 M. Socken, Z. Sasanian, R. Wille, D. M. Miller, and R. Drechsler, "Optimizing the Mapping of Reversible Circuits to Four- Valued Quantum Gate Circuits," IEEE 42th Int. Symp. on Multiple-Valued Logic, 2012, pp. 173-178.
6 R. Wille, H. M. Le, G. W. Deuck, and D.Grosse, "Quantified Synthesis of Reversible Logic," Proceedings of the conference on Design, automation and test in Europe, 2008. pp. 1015-1020.
7 D. Ahn. Technology Trends and Market Forecasts of Quantum Information Communications. Ha Yeon, Oct. 15, 2012.
8 M. L. Bellac. A Short Introduction to Quantum Information and Quantum Computing. Cambridge University Press, 2006.