Circuit QED system using Triple-Leg Stripline Resonator*

We theoretically propose a new circuit QED system implemented with a triple-leg stripline resonator (TSR). The fundamental intra-cavity microwave modes of the TSR are two-fold degenerate. When a superconducting qubit is placed near one of the TSR legs, one fundamental mode is directly coupled to the qubit, while the other one remains uncoupled. Using our circuit QED system, we have theoretically studied a two-qubit quantum gate operation in a hybrid qubit composed of a flying microwave qubit and a superconducting qubit.
Linear stripline resonators (LSR) have been used to build several interesting lattice structures including 2D Kagome and Lieb lattice. However, due to its structural limitations, it is hard to fabricate honeycomb lattice structures using the LSR. In contrast, our TSR can form an optical honeycomb lattice, since each resonator can be symmetrically connected to the three adjacent ones. We have obtained Dirac dispersion produced by photonic orbitals in our optical lattice structure and have shown the distinct features from that of graphene.