Multimode mediated qubit-qubit coupling and dark-state symmetries in circuit quantum electrodynamics

Stefan Filipp, M. Göppl, J. M. Fink, Matthias Baur, R. Bianchetti, L. Steffen, Andreas J. Wallraff · Physical Review A · 2011

Microwave cavities with high quality factors enable coherent coupling of distant quantum systems. Virtual photons lead to a transverse interaction between qubits when they are nonresonant with the cavity but resonant with each other. We experimentally investigate the inverse scaling of the interqubit coupling with the detuning from a cavity mode and its proportionality to the qubit-cavity interaction strength. We demonstrate that the enhanced coupling at higher frequencies is mediated by multiple higher-harmonic cavity modes. Moreover, we observe dark states of the coupled qubit-qubit system and analyze their relation to the symmetry of the applied driving field at different frequencies.

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