Quantum multiple-valued adder is the basic module to construct quantum multiple-valued computer.By analyzing addition operation rules and truth table of addition with carry in ternary field
setting control conditions of quantum generalized ternary Toffoli gates to realize the addition carry in all cases and making use of ternary Feynman gates to realize sum
one qutrit full adder is given.At last
nqutrit ternary full adder is constructed by using carry bit to connect all one qutrit full adders.Compared with other same type circuits
the ancilla qubits and quantum costs of this quantum full adder have been decreased.