Quantum Realization of Some Ternary Circuits Using Muthukrishnan-Stroud Gates

We present realization of ternary Toffoli gate and modified Fredkin gate for quantum computing on top of ion trap realizable Muthukrishnan-Stroud primitive gates. Our design methodology is based on first realizing the quantum circuits using generalized ternary gates and Feynman gates and then replacing them with their equivalent realization using Muthukrishnan-Stroud gates. Our realization of ternary Toffoli gate is more efficient than the previously published result and modified Fredkin gate is realized for the first time in literature using Muthukrishnan-Stroud gates.