A survey of the research on multi-valued quantum circuits

Because it has the ability to avoid energy losses and the possibility to solve some exponentially hard problems in polynomial time, quantum computation is getting more and more attention. Multi-valued logic for quantum computing has shown practical advantages for scaling up a quantum computer. In this paper, some reversible logic gates for the multi-valued quantum logic and some synthesis methods for reversible logic are introduced, including the Cosine-Sine decomposition and the evolutionary quantum logic synthesis.