Design of a Ternary Fredkin Reversible Gate
Carlos Moraga · 2023
Several realizations of a reversible ternary Fredkin gate are developed based on Muthukrishnan-Stroud controlled-controlled Sum modulo 3 gates and controlled scaling gates. It is shown that under positive polarity, the proposed Fredkin gates have the expected controlled swap behaviour and that under mixed polarity, other behaviours are possible. Most introduced realizations have a lower realization complexity than realizations found in the literature.