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We use the quasienergy structure that emerges when a fluxoniumsuperconducting circuit is driven periodically to encode quantum informationwith dynamically induced flux-insensitive sweet spots. The framework of Floquettheory provides an intuitive description of these high-coherence working pointslocated away from the half-flux symmetry point of the undriven qubit. Thisapproach offers flexibility in choosing the flux bias point and the energy ofthe logical qubit states as shown in [\textit{Huang et al., 2020}]. Wecharacterize the response of the system to noise in the modulation amplitudeand DC flux bias, and experimentally demonstrate an optimal working point whichis simultaneously insensitive against fluctuations in both. We observe a40-fold enhancement of the qubit coherence times measured with Ramsey-typeinterferometry at the dynamical sweet spot compared with static operation atthe same bias point.

Floquet-engineered enhancement of coherence times in a driven fluxonium qubit