  Recent research in multi-valued logic for quantum computing has shown
practical advantages for scaling up a quantum computer. Multivalued quantum
systems have also been used in the framework of quantum cryptography, and the
concept of a qudit cluster state has been proposed by generalizing the qubit
cluster state. An evolutionary algorithm based synthesizer for ternary quantum
circuits has recently been presented, as well as a synthesis method based on
matrix factorization.In this paper, a recursive synthesis method for ternary
quantum circuits based on the Cosine-Sine unitary matrix decomposition is
presented.
