  Quantum transmission lines are a central to superconducting and hybrid
quantum computing. Parallel to these developments are those of left-handed
meta-materials. They have a wide variety of applications in photonics from the
microwave to the visible range such as invisibility cloaks and perfect flat
lenses. For classical guided microwaves, left-handed transmission lines have
been proposed and studied on the macroscopic scale. We combine these ideas in
presenting a left-handed/right-handed hybrid transmission line for applications
in quantum optics on a chip. The resulting system allows circuit QED to reach a
new regime: multi-mode ultra-strong coupling. Out of the many potential
applications of this novel device, we discuss two; the preparation of
multipartite entangled states and its use as a quantum simulator for the
spin-boson model where a quantum phase transition is reached up to finite
size-effects.
