Abstract
• Two function translations and search transformation-based synthesis are introduced. • Simplifying the circuit post-synthesis is considered with novel gate pairing. • Quantum circuit implementation constraints are considered. • Experimental results for all 2-input 3-valued functions are given. • Other examples show both the effectiveness and limitations of the new approaches. Two new function translations and a novel bounded search transformation-based synthesis approach that finds a reversible circuit implementation for a given 3-valued reversible function are presented. Methods for simplifying the circuit post-synthesis and quantum circuit implementation constraints are also considered. Experimental results for all 2-input 3-valued functions show the effectiveness of the new approaches compared to earlier transformation-based synthesis approaches. Other examples are given to show both the effectiveness and limitations of the new approaches which point to a number of key areas for further research.
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