Conditional displacement interaction in transversal direction from the quantum Rabi model

We investigate the realization of conditional displacement interaction in transversal direction from the quantum Rabi model by adjusting parameters of external magnetic fields. The special interaction is derived in the system of qubit(s) coupled to a resonator. We explore the implementation of quantum gates and the generation of superposed coherent states based on the transversal conditional displacement interaction, and consolidate the investigations numerically. We also show the special interaction can be realized by using the quantum Rabi model with qubit–qubit coupling.

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