A Method to Synthesize Boolean Quantum Circuit Based on Reed-Muller Expansions

Author

Shengchao Ding ; Zhi Jin

Author_Institution

Chinese Acad. of Sci., Beijing

fYear

2007

Firstpage

1221

Lastpage

1225

Abstract

This paper presents how to synthesize efficient Boolean quantum circuits (BQC) from Reed-Muller (RM) expansions of Boolean functions. Firstly, the method of Younes et al [A. Younes and J. F. Miller, International Journal of Electronics 91, 431 (2004)] is generalized to synthesize BQC for multiple outputs function. The transformation is straightforward. A technique rearranging the modified Toffoli gates is also presented to eliminate additive NOT gates as much as possible. Secondly, the approach synthesizing BQC without work qubits is proposed which is simple and high-efficient. The necessary conditions for the RM expansions which can be synthesized by the proposed method are derived too.

Keywords

Boolean functions; logic circuits; quantum computing; Boolean quantum circuit synthesis; Reed-Muller expansions; modified Toffoli gates; multiple outputs function; quantum computing; Boolean functions; Circuit synthesis; Circuit testing; Computer science; Concurrent computing; Mathematics; Paper technology; Parallel processing; Quantum computing; Scalability;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications, Circuits and Systems, 2007. ICCCAS 2007. International Conference on

Conference_Location

Kokura

Print_ISBN

978-1-4244-1473-4

Type

conf

DOI

10.1109/ICCCAS.2007.4348267

Filename

4348267