With the rapid advancement of quantum computing technology, there is a growing need for new debugging tools for quantum programs. Recent research has highlighted the potential of assertions for debugging quantum programs. In this paper, we investigate assertions in quantum ternary systems, which are more challenging than those in quantum binary systems due to the complexity of ternary logic. We propose quantum ternary circuit designs to assert classical, entanglement, and superposition states, specifically geared toward debugging quantum ternary programs.