  We propose the interaction of two quantum memristors via capacitive and
inductive coupling in feasible superconducting circuit architectures. In this
composed system the input gets correlated in time, which changes the dynamic
response of each quantum memristor in terms of its pinched hysteresis curve and
their nontrivial entanglement. In this sense, the concurrence and memristive
dynamics follow an inverse behavior, showing maximal values of entanglement
when the hysteresis curve is minimal and vice versa. Moreover, the direction
followed in time by the hysteresis curve is reversed whenever the quantum
memristor entanglement is maximal. The study of composed quantum memristors
paves the way for developing neuromorphic quantum computers and native quantum
neural networks, on the path towards quantum advantage with current NISQ
technologies.
