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Large scale quantum computing motivates the invention of two-qubit gateschemes that not only maximize the gate fidelity but also draw minimalresources. In the case of superconducting qubits, the weak anharmonicity oftransmons imposes profound constraints on the gate design, leading to increasedcomplexity of devices and control protocols. Here we demonstrate aresource-efficient control over the interaction of strongly-anharmonicfluxonium qubits. Namely, applying an off-resonant drive to non-computationaltransitions in a pair of capacitively-coupled fluxoniums induces a$\textrm{ZZ}$-interaction due to unequal ac-Stark shifts of the computationallevels. With a continuous choice of frequency and amplitude, the drive caneither cancel the static $\textrm{ZZ}$-term or increase it by an order ofmagnitude to enable a controlled-phase (CP) gate with an arbitrary programmedphase shift. The cross-entropy benchmarking of these non-Clifford operationsyields a sub $1\%$ error, limited solely by incoherent processes. Our resultdemonstrates the advantages of strongly-anharmonic circuits over transmons indesigning the next generation of quantum processors.

Arbitrary controlled-phase gate on fluxonium qubits using differential ac-Stark shifts