FIG. 17 provides an AND gate circuit 1700 according to the body-tail topology described herein, where the body stage is reduced to a single input B and associated inductor L1 and Josephson junction J2, which body stage supplies a pre-critical bias current to tail stage Josephson junction J5 via linking inductor LL. With a positive SFQ pulse at input A to assert that input, Josephson junction J5 triggers and produces an output of “1” at output Z, fulfilling the AND logical function of Z=A AND B.

FIG. 18 provides an A-NOT-B gate circuit 1800 sharing structural similarities to the multiplexer circuit 1400 described previously. The upper-right portion of the circuit provides a pulse generator signal, indicated in FIG. 18 as “PULSE GEN.,” as a return-to-zero (RZ) tie-high signal. When combined with an assertion signal (“1”) provided at input B, the pulse generator signal causes escape Josephson junction J3 to trigger, thereby starving tail Josephson junction J5 of a pre-critical bias current that would otherwise allow SFQ pulses provided at input A to propagate to output Z. Thus, when input B is “high,” input A pulses are blocked. In absence of a “1” on input B, circuit 1800 allows for the pulse generator to provide the requisite pre-critical bias current to tail Josephson junction J5, thereby activating input A to trigger tail Josephson junction J5 and thus produce a “1” at the output Z.