  We analyze the quantum resource generation of capacitively-coupled multilevel
transmon circuits surrounded by bosonic baths, within the Markovian limit. In
practice, the superconducting circuit elements are usually part of a larger
circuit, constructed with many other linear circuit elements, which along with
their environment is assumed to be mimicked by the baths. We study the response
to variation of the coupling strength of resource generation for thee system
prepared in zero-resource initial states. We focus, in particular, on
entanglement and quantum coherence as resources. We quantify the entanglement
generation power of coupled transmon qutrits, taking into account the maximum
entanglement the system can generate and the time-scale over which the system
can sustain a significant entanglement. We identify the optimal initial
separable states leading to maximum entanglement generating power.
