2008•ACM Journal on Emerging Technologies in Computing SystemsRequires access

Reversible logic synthesis with Fredkin and Peres gates

James Donald, Niraj Kumar Jha

Open publisher page 85 citations

Abstract

Reversible logic has applications in low-power computing and quantum computing. Most reversible logic synthesis methods are tied to particular gate types, and cannot synthesize large functions. This article extends RMRLS, a reversible logic synthesis tool, to include additional gate types. While classic RMRLS can synthesize functions using NOT, CNOT, and n -bit Toffoli gates, our work details the inclusion of n -bit Fredkin and Peres gates. We find that these additional gates reduce the average gate count for three-variable functions from 6.10 to 4.56, and improve the synthesis results of many larger functions, both in terms of gate count and quantum cost.

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What this paper is about

Reversible logic has applications in low-power computing and quantum computing. Most reversible logic synthesis methods are tied to particular gate types, and cannot synthesize large functions. This article extends RMRLS, a reversible logic synthesis tool, to include additional gate types. While classic RMRLS can synthesize functions using NOT, CNOT, and n -bit Toffoli gates, our work details the inclusion of n -bit Fredkin and Peres gates. We find that these additional gates reduce the average gate count for three-variable functions from 6.10 to 4.56, and improve the synthesis results of many larger functions, both in terms of gate count and quantum cost.

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OpenAlex reports 85 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Reversible logic has applications in low-power computing and quantum computing. Most reversible logic synthesis methods are tied to particular gate types, and cannot synthesize large functions. This article extends RMRLS, a reversible logic synthesis tool, to include additional gate types. While classic RMRLS can synthesize functions using NOT, CNOT, and n -bit Toffoli gates, our work details the inclusion of n -bit Fredkin and Peres gates. We find that these additional gates reduce the average gate count for three-variable functions from 6.10 to 4.56, and improve the synthesis results of many larger functions, both in terms of gate count and quantum cost.

Key concepts: Toffoli gate, Controlled NOT gate, Logic gate, Gate count, AND-OR-Invert, Quantum gate, Quantum circuit, Computer science

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