In this paper, we explore a new set of circuits that incorporate both single-flux-quantum and quantized charge-based complementary quantum logic circuits. Circuits that convert single-flux quantum voltage pulses to quantized charge pulses and vice versa, leading to circuits that simplify logic and integration operations of individual flux and charge-based logic circuits, are introduced. These include fan-out circuits that enable single flux input to several charge outputs as well as control gate circuit with charge input controlling flux output. The operation of these circuits is demonstrated in simulations using WRSPICE. An XOR gate implementation is presented as an example to illustrate the operation of these circuits. The developed complementary quantum logic circuits show promise for higher power efficiency and simpler design in the form of fewer junctions for a given logic implementation, leading to the possibility of higher integration density.
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