Josephson Junction-Based Components for Scalable Quantum Computing

The physical realization of larger quantum computing schemes will require highly scalable signal processing architectures for precise qubit control. Various microwave components are needed for signal routing and isolation, but the size and design of commercially available components are not always feasible for on-chip solutions. With this motivation, we examine how arrays of Josephson junctions in external magnetic fields provide the potential to replace larger devices using the ordering of flux degrees of freedom in the arrays. As a key example, we consider models of circulators, non-reciprocal devices that enable isolation of quantum circuits.