Feasibility of an ultra-high-speed Josephson multiplier

The authors discuss the design, fabrication, and evaluation of a Josephson multiplier model featuring all-niobium junctions. They designed a 16-bit × 16-bit parallel multiplier and fabricated its critical path model consisting of 828 gates. The circuit was designed using modified variable threshold logic (MVTL) OR-gates and single-junction AND gates. These gates consisted of Nb/AlO/SUB x//Nb Josephson junctions, Nb wiring, Mo resistors, and SiO/SUB 2/ insulators. Both the minimum linewidth and junction diameter were 2.5 μm. The observed multiplication time using the critical path model was 1.1 ns. The propagation delay due to the interconnecting wiring was estimated to be 0.20 ns, and the longest path of the circuit consisted of 103 gates. Thus the average gate delay in the circuit was estimated to be 8.7 ps/gate. These results point to the possibility of an ultra high-speed multiplier, about five times faster than any semiconductor device.