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Superconducting circuits are highly controllable platforms to manipulatequantum states, which make them particularly promising for quantum informationprocessing. We here show how the existence of a distance-independentinteraction between microwave resonators coupled capacitively through a qubitoffers a new control parameter toward this goal. This interaction is able toinduce an idling point between resonant resonators, and its state-dependentnature allows one to control the flow of information between the resonators.The advantage of this scheme over previous one is demonstrated through thegeneration of high-fidelity NOON states between the resonators, with a lowernumber of operations than previous schemes. Beyond superconducting circuits,our proposal could also apply to atomic lattices with clock transitions inoptical cavities, for example.

Collateral coupling between superconducting resonators: Fast and high fidelity generation of qudit-qudit entanglement