  The rapid-pace growing demand for high-performance computation and big-data
manipulation entails substantial increase in global power consumption, and
challenging thermal management. Thus, there is a need in allocating competitive
alternatives for complementary metal-oxide-semiconductor (CMOS) technologies.
Superconducting platforms, such as rapid single flux quantum (RSFQ) lack
electric resistance and excel in power efficiency and time performance.
However, traditional RSFQs require 3D geometry for their Josephson junctions
(JJs) imposing a large footprint, and hence preventing device miniaturization
and increasing processing time. Here, we demonstrate that RSFQ logic circuits
of planar geometry with weak-link bridges are scalable, relatively easy to
process and are CMOS-compatible on a Si chip. Universal logic gates, as well as
combinational arithmetic circuiting that are based on these devices are
demonstrated. The power consumption and processing time of these logic circuits
were as low as 0.8 nW and 13 ps, an order of magnitude improvement with respect
to the equivalent traditional-RSFQ logic circuits and two orders of magnitude
with respect to CMOS. The competitive performance of planar RSFQ logic circuits
renders them for promising CMOS substitutes, especially in the
supercomputational realm.
