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Implementation of quantum gates by Floquet analysis of kicked quantum system
The precise control of multi-qubit interactions remains a cornerstone for the scalability of superconducting quantum processors. In this work, we investigate the implementation of two-qubit quantum gates within a superconducting three-qubit architecture utilizing a tunable coupler as a mediator. By applying Floquet theory, we model the periodic driving of the bus qubit as a train of delta-pulses (kicks), which allows for a rigorous stroboscopic description of the system dynamics through an effective Floquet Hamiltonian. Unlike standard continuous driving schemes, this pulsed approach facilitates a systematic analysis of the quasi-energy spectrum and resonance conditions, leading to the identification of optimal driving parameters that selectively enhance specific state transitions while suppressing unwanted crosstalk. Our results demonstrate the controlled realization of high-fidelity entangling gates, such as iSWAP and bSWAP. This approach provides a robust framework for quantum gate engineering, bridging the gap between time-periodic control theory and the practical requirements of entangling operations in complex superconducting circuits.
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