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Three-wave mixing is a key process in superconducting quantum informationprocessing, being involved in quantum-limited amplification and parametriccoupling between superconducting cavities. These operations can be implementedby SNAIL-based devices that present a Kerr-free flux-bias point where unwantedparasitic effects such as Stark shift are suppressed. However, with a singleflux-bias parameter, these circuits can only host one Kerr-free point, limitingthe range of their applications. In this Letter, we demonstrate how to overcomethis constraint with a gradiometric SNAIL, a doubly-flux biased superconductingcircuit for which both effective inductance and Kerr coefficient can beindependently tuned. Experimental data show the capability of the gradiometricSNAIL to suppress Kerr effect in a three-wave mixing parametric amplifier overa continuum of flux bias points corresponding to a 1.7 GHz range of operatingfrequencies.

Frequency-tunable Kerr-free three-wave mixing with a gradiometric SNAIL