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.
@article{arxiv.quant-ph/0511041,
title = {Synthesis of Ternary Quantum Logic Circuits by Decomposition},
author = {Faisal Shah Khan and Marek Perkowski},
journal= {arXiv preprint arXiv:quant-ph/0511041},
year = {2007}
}